The figure shows the graph of a function g for 0 ≤ x ≤ 5. Which of the following statements is true about the function g? The rate of change of g is positive and increasing. The rate of change of g is positive and decreasing. The rate of change of g is negative and increasing. The rate of change of g is negative and decreasing.

The rate of change of g is negative and increasing.

The figure shows the graph of a function k for 0 ≤ x ≤ 5. Which of the following statements is true about the function k?

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

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

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

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

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.

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

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

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

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

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

lim x→−∞ h(x) = ∞ and lim x→∞ h(x) = ∞

End behavior of rational function: r(x) = $$\frac{{4x^2 + x − 2}}{{8x^2 − 3x + 1}}$$ . What happens as input values decrease without bound?

As the input values of r decrease without bound, the output values of r get arbitrarily close to 1/2.

Rational function r has zeros at x = -3 and x = 4. Which expression could be r?

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

The rational function r is given by r(x) = $$\frac{x+1}{(x-4)^{ }}$$ . Which of the following limit statements about r is correct? Options: $$\lim_{x→4^-}r(x)=∞$$ , $$\lim_{x→4^-}r(x)=−∞$$ , $$\lim_{x→−1^−}=∞$$ , $$\lim_{x→−1^−}r(x)=−∞$$

$$\lim_{x→4^-}r(x)=−∞$$ .

In the xy-plane, the graph of a rational function k has a hole at x = −3. It is known that lim(x→−3) k(x) = 4. Which of the following could define k(x)? Options: $$k(x) = \frac{(x−3)(x−1)}{(x−3)(x+2)}$$ , $$k(x) = \frac{4(x+3)(x−4)}{(x+3)(x−1)}$$ , $$k(x) = \frac{(x−4)(x+2)}{(x−4)(x−6)}$$ , $$k(x) = \frac{(x+3)(x−5)}{(x+3)(x+1)}$$

$$k(x) = \frac{(x+3)(x−5)}{(x+3)(x+1)}$$

Function with a graph in the xy-plane with a vertical asymptote at x = 1 and a hole at x = −2: f(x) = $$\frac{x^2−4x+3}{x^2+x+2}$$ g(x) = $$\frac{x^2+x−2}{x^2+3x+2}\ $$ h(x) = $$\frac{x^2 + 4x + 4}{x^2 + x - 2}$$ k(x) = $$\frac{x^2+4x+3}{x^2-x-2}$$

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

Expand the expression $$(x - 4y)^5$$ using the binomial theorem.

$$x^5 - 5x^4(4y) + 10x^3(4y)^2 - 10x^2(4y)^3 + 5x(4y)^4 - (4y)^5$$

Answer A is the right answer Options: (A) x | f(x) −1 | −1 0 | −4 1 | −5 2 | −2, (B) x | f(x) −1 | 7 0 | 4 1 | 3 2 | 6, (C) x | f(x) 3 | −1 4 | −4 5 | −5 6 | −2, (D) x | f(x) 3 | 7 4 | 4 5 | 3 6 | 6

(A) x | f(x) −1 | −1 0 | −4 1 | −5 2 | −2

The functions f and g are defined for all real numbers such that g(x) = f(2x) + 1. Which sequence of transformations maps the graph of f to the graph of g in the xy-plane?

A horizontal dilation of the graph of f by a factor of 1/2 followed by a vertical translation of the graph of f by 1 unit.

Find a polynomial function that has a zero at 2, and a multiplicity of 2 for the zeros at 0 and -3.

$$f(x) = x^5 + 4x^4 - 3x^3 - 18x^2$$

Equation for the given graph?

$$y = \frac{1}{6}(x-2)^{2}(x+2)(x-3)$$

The table gives values of the sequence s n at selected values of n. Which of the following statements about s n is true?

s n could be an arithmetic sequence, because successive terms have a constant difference.

The function f is given by f(x) = $$4 * (\frac{2}{3})^x$$ . Which of the following describes the end behavior of f?

lim_{x→−∞} f(x) = ∞ and lim_{x→∞} f(x) = 0

The exponential function f is defined by f(x) = $$ab^x$$ , where a and b are positive constants. Which of the following statements is true?

f demonstrates exponential decay because a > 0 and 0

True statement about the exponential function g given by $$\frac{1}{2} \cdot 3^x$$ ?

g is always increasing, and the graph of g is always concave up.

AP PreCal Exam Review 1-102

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

Meredith Sparrow

FREE Resource

Student preview

50 questions

Show all answers

FLASHCARD QUESTION

Front

The figure shows the graph of a function f for 0 ≤ x ≤ 9. How many points of inflection does the graph of f have?

Back

FLASHCARD QUESTION

Front

Which of the following statements about the graph of f is correct? Options: On the interval 7 < x < 9, f is positive and increasing., On the interval 7 < x < 9, f is positive and decreasing., On the interval 7 < x < 9, f is negative and increasing., On the interval 7 < x < 9, f is negative and decreasing.

Back

On the interval 7 < x < 9, f is negative and increasing.

FLASHCARD QUESTION

Front

Which of the following statements about the graph of f is correct? On the interval 1 < x < 3, f is increasing at an increasing rate., On the interval 1 < x < 3, f is increasing at a decreasing rate., On the interval 1 < x < 3, f is decreasing at an increasing rate., On the interval 1 < x < 3, f is decreasing at a decreasing rate.

Back

On the interval 1 < x < 3, f is decreasing at an increasing rate.

FLASHCARD QUESTION

Front

Which of the following statements about the graph of f is correct?

On the interval 0 < x < 1, f is increasing and the graph of f is concave up.
On the interval 0 < x < 1, f is increasing and the graph of f is concave down.
On the interval 0 < x < 1, f is decreasing and the graph of f is concave up.
On the interval 0 < x < 1, f is decreasing and the graph of f is concave down.

Back

On the interval 0 < x < 1, f is decreasing and the graph of f is concave down.

FLASHCARD QUESTION

Front

Which statement about the graph of f is correct on the interval 5 < x < 7?

Back

On the interval 5 < x < 7, the rate of change of f is negative and increasing.

FLASHCARD QUESTION

Front

The figure shows the graph of a function f for 0 ≤ x ≤ 5. Which of the following statements is true about the function f?

f is increasing at an increasing rate.
f is increasing at a decreasing rate.
f is decreasing at an increasing rate.
f is decreasing at a decreasing rate.

Back

f is increasing at an increasing rate.

FLASHCARD QUESTION

Front

The figure shows the graph of a function j for 0 ≤ x ≤ 5. Which of the following statements is true about the function j?

Back

The graph of j is increasing at a decreasing rate.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

42 questions

APUSH Mid-Term

Flashcard

•

11th Grade - University

50 questions

TOPIC 4

Flashcard

•

University

40 questions

Close-up B1+ Unit 8 Quiz

Flashcard

•

10th Grade

48 questions

LOGIKA KALIMAT BERTINGKAT DAN KUANTOR

Flashcard

•

University

54 questions

Historical Events and Concepts in Canada

Flashcard

•

11th Grade

48 questions

Daily Activities Flashcards

Flashcard

•

University

39 questions

U17 - W8 (More Cons)

Flashcard

•

University

34 questions

Unit 108 AGD Flashcards

Flashcard

•

11th Grade

Popular Resources on Wayground

20 questions

STAAR Review Quiz #3

Quiz

•

8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

6 questions

Marshmallow Farm Quiz

Quiz

•

2nd - 5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

16 questions

Circles - Equations, Central & Inscribed Angles

Quiz

•

9th - 12th Grade

35 questions

Venn Diagrams, Theoretical, & Experimental Review

Quiz

•

9th - 12th Grade

15 questions

Calculate and Classify Arc Measures

Quiz

•

9th - 12th Grade

20 questions

April 1st 2026 Transformations of Rational Functions

Quiz

•

9th - 12th Grade

6 questions

Intro to Step Functions

Quiz

•

10th - 12th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade

6 questions

Equations of Circles

Quiz

•

9th - 12th Grade

8 questions

Week 3 Memory Builder 1 (Term 3) Solving simple equations

Quiz

•

9th - 12th Grade