Quiz about Unit 1 MCQ AP Precalculus Exam Review (64-129)

Question 1

The table gives values for a polynomial function h at selected values of x. It is known that h is increasing on the interval 0 < x < 4. Which of the following could be true about the graph of h on the interval 0 < x < 4?

Accepted Answer

The graph of h is concave down because the average rate of change over equal-length input-value intervals is decreasing.

Answer

The graph of h is concave down because the average rate of change over equal-length input-value intervals is increasing.

Answer

The graph of h is concave up because the average rate of change over equal-length input-value intervals is increasing.

Answer

The graph of h is concave up because the average rate of change over equal-length input-value intervals is decreasing.

Question 2

The table shows values for a function f at selected values of x. Which of the following claim and explanation statements best fit these data?

Accepted Answer

The graph of f could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

Answer

The graph of f could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

Answer

The graph of f could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

Answer

The graph of f could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

Question 3

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

Accepted Answer

The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

Answer

The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

Answer

The graph of k could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

Answer

The graph of k could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

Question 4

The table shows values for a function g at selected values of x. Which of the following claim and explanation statements best fit these data?

Accepted Answer

g is best modeled by a quadratic function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Answer

g is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

g is best modeled by a linear function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Answer

g is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

Question 5

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

Accepted Answer

k is best modeled by a quadratic function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Answer

k is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

k is best modeled by a linear function, because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

Answer

k is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

Question 6

Which of the following claim and explanation statements best fit these data?

Accepted Answer

f is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

f is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Answer

f is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

f is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Question 7

Which of the following claim and explanation statements best fit these data?

Accepted Answer

g is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Answer

g is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

g is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Answer

g is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

Question 8

Which of the following claim and explanation statements best fit these data?

Accepted Answer

p is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Answer

p is best modeled by a linear function, because the rate of change over consecutive equal-length input-value intervals is constant.

Answer

p is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Answer

p is best modeled by a quadratic function, because the rate of change over consecutive equal-length input-value intervals is constant.

Question 9

The table shows values for a function k at selected values of x. Which of the following statements about k could be true?

Accepted Answer

The function k is decreasing and the graph of k is concave up.

Answer

The function k is decreasing and the graph of k is concave down.

Answer

The function k is increasing and the graph of k is concave up.

Answer

The function k is increasing and the graph of k is concave down.

Question 10

The table shows values for a function h at selected values of x. Which of the following statements about h could be true?

Accepted Answer

The function h is increasing and the graph of h is concave up.

Answer

The function h is decreasing and the graph of h is concave up.

Answer

The function h is decreasing and the graph of h is concave down.

Answer

The function h is increasing and the graph of h is concave down.

Question 11

The table shows values for a function g at selected values of x. Which of the following statements about g could be true?

Accepted Answer

The function g is increasing and the graph of g is concave down.

Answer

The function g is decreasing and the graph of g is concave up.

Answer

The function g is decreasing and the graph of g is concave down.

Answer

The function g is increasing and the graph of g is concave up.

Question 12

The table shows values for a function f at selected values of x. Which of the following statements about f could be true?

Accepted Answer

The function f is decreasing and the graph of f is concave down.

Answer

The function f is decreasing and the graph of f is concave up.

Answer

The function f is increasing and the graph of f is concave up.

Answer

The function f is increasing and the graph of f is concave down.

Question 13

The figure shows the graph of the quartic polynomial function j. How many points of inflection does the graph of j have?

Accepted Answer

Two

Answer

One

Answer

Three

Answer

Four

Question 14

The figure shows the graph of the cubic polynomial function f. How many points of inflection does the graph of f have?

Accepted Answer

One

Answer

Zero

Answer

Two

Answer

Three

Question 15

The figure shows the graph of the function h with four points labeled, where h represents the rate of change of the function g (not shown). Which of the four labeled points on the graph of h has the same x-coordinate as a point of inflection on the graph of g?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 16

The figure shown is the graph of a polynomial function f. Which of the following could be an expression for f(x)?

Accepted Answer

$$-3(x+4)(x-2)$$

Answer

$$-3(x+4)(x-2)^2$$

Answer

$$3(x+4)(x-1)^2$$

Answer

$$3(x+4)(x-1)$$

Question 17

The figure shown is the graph of a polynomial function g. Which of the following could be an expression for g(x)?

Accepted Answer

$$(x+3)(x-2)^3$$

Answer

$$(x+3)(x-2)^2$$

Answer

$$(x+3)^2(x-2)^2$$

Answer

$$(x+3)^3(x-2)$$

Question 18

The figure shown is the graph of a quartic polynomial function h. Which of the following could be an expression for h(x)?

Accepted Answer

$$-5x^2(x+2)(x-4)$$

Answer

$$-5x^2(x-2)(x-4)$$

Answer

$$-5x^2(x+4)(x-2)$$

Answer

$$.5x^2(x+2)(x-4)$$

Question 19

The table gives values of the polynomial function g at selected values of x. Which of the following statements about g could be true?

Accepted Answer

(B) g is an odd function and g(-1) = 6

Answer

(A) g is an odd function and g(-1) = -6

Answer

(C) g is an even function and g(-1) = -6

Answer

(D) g is an even function and g(-1) = 6

Question 20

The table gives values of the polynomial function h at selected values of x. Which of the following statements about h could be true?

Accepted Answer

(D) h is an even function and h(-4) = 7

Answer

(A) h is an odd function and h(-4) = -7

Answer

(B) h is an odd function and h(-4) = 7

Answer

(C) h is an even function and h(-4) = -7

Question 21

The polynomial function f is an odd function. The table gives values of f(x) at selected values of x, where a and b are constants. What is the value of a + b?

Accepted Answer

(A) -6

Answer

(B) -14

Answer

(C) -3

Answer

(D) 18

Question 22

The polynomial function p is given by $$p(x)=(x^2+4)(x^2-9)$$ . Which of the following describes the zeros of p?

Accepted Answer

p has exactly two distinct real zeros and two non-real zeros.

Answer

p has exactly two distinct real zeros and no non-real zeros.

Answer

p has exactly three distinct real zeros.

Answer

p has exactly four distinct real zeros.

Question 23

The polynomial function f is given by $$f(x)=(x+1)(x^2-3x-4)$$ . Which of the following describes the zeros of f?

Accepted Answer

f has exactly two distinct real zeros.

Answer

f has exactly three distinct real zeros.

Answer

f has exactly one distinct real zero and no non-real zeros.

Answer

f has exactly one distinct real zero and two non-real zeros.

Question 24

The polynomial function g is given by $$g\left(x\right)=(x-3)(x^2-6x+9)$$ . Which of the following describes the zeros of g?

Accepted Answer

g has exactly one distinct real zero and no non-real zeros.

Answer

g has exactly two distinct real zeros.

Answer

g has exactly three distinct real zeros.

Answer

g has exactly one distinct real zero and two non-real zeros.

Question 25

The polynomial function k is given by $$k(x)=(x-4)(x^2+2x+7)$$ . Which of the following describes the zeros of k?

Accepted Answer

k has exactly one distinct real zero and two non-real zeros.

Answer

k has exactly three distinct real zeros.

Answer

k has exactly two distinct real zeros and one non-real zero.

Answer

k has exactly one distinct real zero and no non-real zeros.

Question 26

The table gives values of the polynomial function g at selected values of x. What is the least possible degree of g?

Accepted Answer

C) 3

Answer

A) 1

Answer

B) 2

Answer

D) 4

Question 27

The table gives values of the polynomial function f at selected values of x. What is the least possible degree of f?

Accepted Answer

B) 2

Answer

A) 1

Answer

C) 3

Answer

D) 4

Question 28

The table gives values of the polynomial function p at selected values of x. What is the least possible degree of p?

Accepted Answer

D) 4

Answer

A) 1

Answer

B) 2

Answer

C) 3

Question 29

The table gives values of the function h at selected values of x. Which of the following statements is true?

Accepted Answer

h is best modeled by a quadratic function, because the successive 2nd differences of the output values over equal-interval input values are constant.

Answer

h is best modeled by a linear function, because the average rate of change over any length input-value interval is constant.

Answer

h is best modeled by a quadratic function, because the average rates of change over any length input-value interval are constant.

Answer

h is best modeled by a linear function, because the successive 2nd differences of the output values over equal-interval input values are constant.

Question 30

The table gives values of the function k at selected values of x. Which of the following statements is true?

Accepted Answer

k is best modeled by a linear function, because the average rate of change over any length input-value interval is constant.

Answer

k is best modeled by a quadratic function, because the average rates of change over any length input-value interval are constant.

Answer

k is best modeled by a linear function, because the successive 2nd differences of the output values over equal-interval input values are constant.

Answer

k is best modeled by a quadratic function, because the successive 2nd differences of the output values over equal-interval input values are constant.

Question 31

The figure shows the graph of the polynomial function p. A zero of p is 2 - 3i. What is the least possible degree of p?

Accepted Answer

Five

Answer

Two

Answer

Three

Answer

Four

Question 32

The function h is given by $$h(x)=x^4-x^3-2x+1$$ . Which of the following describes the end behavior of h?

Accepted Answer

Question 33

The function g is given by $$g(x)=-4x^3+5x-2$$ . Which of the following describes the end behavior of g?

Accepted Answer

Question 34

The function p is given by $$p(x)=(x^2+3)(1-6x^3)$$ . Which of the following describes the end behavior of p?

Accepted Answer

Question 35

The function p is given by $$p(x)=2x^5+3x^4-1$$ . Which of the following statements about the end behavior of p is true?

Accepted Answer

Question 36

The function g is given by $$g(x)=3x^4-2x^3+9$$ . Which of the following statements about the end behavior of g is true?

Accepted Answer

Question 37

Let k be a polynomial function with the following end behavior: Which of the following could be an expression for k(x)?

Accepted Answer

$$-2x^3+4x^2-1$$

Answer

$$4x^5+x^3+3$$

Answer

$$3x^4-x^3+5$$

Answer

$$-5x^6+x^3+6$$

Question 38

Let p be a polynomial function with the following end behavior: Which of the following could be an expression for p(x)?

Accepted Answer

$$-2x^4+3x+5$$

Answer

$$4x^3-5x-1$$

Answer

$$x^6+x^4+2x$$

Answer

$$-4x^5-3x^4+9$$

Question 39

The polynomial function p is given by $$p(x)=ax^n+x^4-4$$ , where a and n are integers and $$n>1$$ . If the end behavior of p is given by the statements which of the following could be the values of a and n?

Accepted Answer

a = -3 and n = 5

Answer

a = -3 and n = 4

Answer

a = 3 and n = 5

Answer

a = 3 and n = 4

Question 40

The polynomial function p is given by $$p(x)=ax^n-2x+5$$ , where a and n are integers and $$n>1$$ . If the end behavior of p is given by the statements which of the following could be the values of a and n?

Accepted Answer

a = -3 and n = 4

Answer

a = -3 and n = 5

Answer

a = 3 and n = 5

Answer

a = 3 and n = 4

Question 41

The polynomial function p is given by $$p(x)=ax^n+x^2+3$$ , where a and n are integers and $$n>2$$ . If the end behavior of p is given by the statements which of the following could be the values of a and n?

Accepted Answer

a = 3 and n = 5

Answer

a = -3 and n = 5

Answer

a = -3 and n = 4

Answer

a = 3 and n = 4

Question 42

The polynomial function p is given by $$p(x)=ax^n-3x^2+4$$ , where a and n are integers and $$n>2$$ . If the end behavior of p is given by the statements which of the following could be the values of a and n?

Accepted Answer

a = 3 and n = 4

Answer

a = -3 and n = 5

Answer

a = -3 and n = 4

Answer

a = 3 and n = 5

Question 43

The rational function r is given by $$r(x)=\frac{x^2(x-2)(x-3)^2}{x(x-3)^3}$$ . What are the zeros of the function r?

Accepted Answer

x = 2 only

Answer

x = 0 and x = 2 only

Answer

x = 0 and x = 3 only

Answer

x = 0, x = 2, and x = 3

Question 44

The rational function r has zeros at x = -3 and x = 4. Which of the following could be an expression for r?

Accepted Answer

$$\frac{(x+3)(x-4)^2}{(x-3)(x+4)}$$

Answer

$$\frac{(x-3)(x+4)^2}{(x+3)(x-4)}$$

Answer

$$\frac{(x+3)(x-4)^3}{(x+1)(x-4)^2}$$

Answer

$$\frac{(x+3)(x+4)^2}{(x+3)^2(x+4)^3}$$

Question 45

In the xy-plane, the graph of a rational function g has a vertical asymptote at x = 3. Which of the following could be an expression for g(x)?

Accepted Answer

$$\frac{(x-3)^3(x+4)}{\left(x-3\right)^2\left(x+4\right)}$$

Answer

$$\frac{(x-3)^2(x+2)}{\left(x-3\right)\left(x+4\right)}$$

Answer

$$\frac{(x-3)^{ }(x+2)}{\left(x+3\right)^2\left(x+4\right)}$$

Answer

$$\frac{(x-3)(x+2)}{\left(x-3\right)\left(x+4\right)}$$

Question 46

The rational function f is given by $$f(x)=\frac{-2(x+3)}{(x-1)}$$ . Which of the following statements describe the output values of f as the input values of f get arbitrarily close 1 where x > 1?

Accepted Answer

The output values of f decrease without bound.

Answer

The output values of f increase without bound.

Answer

The output values of f get arbitrarily close to -8.

Answer

The output values of f get arbitrarily close to -2.

Unit 1 MCQ AP Precalculus Exam Review (64-129)

63 questions

The table gives values for a polynomial function h at selected values of x. It is known that h is increasing on the interval 0 < x < 4. Which of the following could be true about the graph of h on the interval 0 < x < 4?

The table shows values for a function f at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function g at selected values of x. Which of the following claim and explanation statements best fit these data?

The table shows values for a function k at selected values of x. Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

Which of the following claim and explanation statements best fit these data?

The graph of the polynomial function f is concave up on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function f?

The graph of the polynomial function g is concave down on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function g?

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