Quiz about Vocabulary Review Unit 1A PreCalculus

Question 1

Topic 1.1: A _______________ is a mathematical relation that maps a set of input values to a set of output values such that each input value is mapped to exactly

1 output value.

Accepted Answer

Function

Answer

Graph

Answer

Independent Variable

Answer

Dependent Variable

Question 2

Topic 1.1: The set of output values of a function is called the ______________, represented by the y-variable.

Accepted Answer

Dependent Variable

Answer

Function

Answer

Graph

Answer

Independent Variable

Question 3

Topic 1.1: The graph is _____________ if the rate of change is decreasing.

Accepted Answer

concave down

Answer

increasing

Answer

decreasing

Answer

concave up

Question 4

Topic 1.1: The graph is _____________ as the input values increase, the output values always increase: If a < b, then f(a) < f(b).

Accepted Answer

increasing

Answer

decreasing

Answer

concave up

Answer

concave down

Question 5

Topic 1.1: The set of input values of a function can be represented by which of the following? Check all that apply.

Accepted Answer

Domain

Accepted Answer

Independent Variable

Answer

Range

Answer

Dependent Variable

Question 6

Topic 1.1: The set of input values of a function is called the ______________, represented by the x-variable

Accepted Answer

Independent Variable

Answer

Function

Answer

Graph

Answer

Dependent Variable

Question 7

Topic 1.1: The graph is _____________ if the rate of change is increasing.

Accepted Answer

concave up

Answer

increasing

Answer

decreasing

Answer

concave down

Question 8

Topic 1.1: The set of output values of a function can be represented by which of the following? Check all that apply.

Accepted Answer

Range

Accepted Answer

Dependent Variable

Answer

Domain

Answer

Independent Variable

Question 9

Topic 1.2: The ____________ of any two points on a graph of f(x) is the slope through those two points

Accepted Answer

Average Rate of change

Answer

Inflection Point

Answer

Maximum

Answer

Tangent Line

Question 10

Topic 1.2: $$\frac{f\left(b\right)-f\left(a\right)}{b-a}$$ is equivalent to..............(check all that apply).

Accepted Answer

average rate of change on the interval of [a, b]

Accepted Answer

Slope of the secant line connecting points through x = a and x = b

Accepted Answer

$$\frac{y_2-y_1}{x_2-x_1}$$

Answer

Slope of the tangent line connecting points through x = a and x = b

Question 11

Topic 1.4: For the polynomial function, $$f\left(x\right)\ =\ 3x^2-7x^5+2+9x$$ , identify the degree.

Accepted Answer

5

Answer

3

Answer

-7

Answer

8

Question 12

Topic 1.4: For the polynomial function, $$f\left(x\right)\ =\ 3x^2-7x^5+2+9x$$ , identify the leading coefficient.

Accepted Answer

-7

Answer

3

Answer

5

Answer

8

Question 13

Topic 1.4: The graph of f(x) is shown. How many global (absolute) extrema does f(x) have?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 14

Topic 1.4: The graph of f(x) is shown. How many local (relative) extrema does f(x) have?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 15

Topic 1.5: The graph of f(x) is shown. At x = -1, what must be true? Select all that apply.

Accepted Answer

A zero with an even multiplicity.

Accepted Answer

The graph is tangent to the x-axis.

Answer

A zero with an odd multiplicity.

Answer

The graph has a point of inflection.

Question 16

Topic 1.5: The graph of f(x) is shown. At x = 2, what must be true? Select all that apply.

Accepted Answer

A zero with an odd multiplicity.

Accepted Answer

The graph has a point of inflection.

Answer

A zero with an even multiplicity.

Answer

The graph is tangent to the x-axis.

Question 17

Topic 1.5: The graph of f(x) is shown. What could be the equation of the graph?

Accepted Answer

$$f\left(x\right)\ =\ x\left(x+1\right)^2\left(x-2\right)^3$$

Answer

$$f\left(x\right)\ =\ x\left(x+1\right)\left(x-2\right)$$

Answer

$$f\left(x\right)\ =\ x\left(x-1\right)^2\left(x+2\right)^3$$

Answer

$$f\left(x\right)\ =\ x\left(x+1\right)^3\left(x-2\right)^2$$

Question 18

Topic 1.5: The graph of f(x) is shown. On the open interval $$\left(-\infty,-1\right)$$ , f(x) is ____________ (Check all that apply).

Accepted Answer

decreasing

Accepted Answer

concave up

Answer

increasing

Answer

concave down

Question 19

Topic 1.5: The degree of a polynomial function can be found by examining the successive differences of the output values over equal-interval input values.

If the first differences are constant, then the polynomial is linear with degree _________.

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 20

Topic 1.5: The degree of a polynomial function can be found by examining the successive differences of the output values over equal-interval input values.

If the third differences are constant, then the polynomial is cubic with degree _________.

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 21

Topic 1.5: The degree of a polynomial function can be found by examining the successive differences of the output values over equal-interval input values.

If the second differences are constant, then the polynomial is quadratic with degree _________.

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 22

Topic 1.5: If a + bi is a non-real zero of a polynomial function, then its __________ a - bi is also a zero of the polynomial function.

Accepted Answer

conjugate

Answer

opposite

Answer

inverse

Answer

zero friend

Question 23

Topic 1.5: What is the conjugate of -11i?

Accepted Answer

11i

Answer

11 + i

Answer

11 - i

Answer

x + 11

Question 24

Topic 1.5: If a fourth degree polynomial has the following zeros, what would be the fourth zero?

-2 (multiplicity 2) and 4 - 5i

Accepted Answer

4 + 5i

Answer

-2

Answer

2

Answer

-4 - 5i

Question 25

Topic 1.5: A 6th degree polynomial will have how many zeros, regardless of type (real, non-real, multiplicity)

Accepted Answer

6

Answer

2

Answer

3

Answer

4

Question 26

Topic 1.5: An ________ function is graphically symmetric over the line x=0 and analytically has the property $$f\left(-x\right)\ =\ f\left(x\right)$$

Accepted Answer

even

Answer

odd

Answer

even-degree

Answer

odd-degree

Question 27

Topic 1.5: An ________ function is graphically symmetric over the origin and analytically has the property $$f\left(-x\right)\ =\ -f\left(x\right)$$

Accepted Answer

odd

Answer

even

Answer

even-degree

Answer

odd-degree

Question 28

Topic 1.6: For the polynomial function, $$f\left(x\right)\ =\ 3x^2-7x^5+2+9x$$ , identify the correct end behavior for the left side.

Accepted Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ \infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ -\infty$$

Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ \infty$$

Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ -\infty$$

Question 29

Topic 1.6: For the polynomial function, $$f\left(x\right)\ =\ 3x^2-7x+2+9x^4$$ , identify the correct end behavior for the right side.

Accepted Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ \infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ \infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ -\infty$$

Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ -\infty$$

Question 30

Topic 1.5: For the polynomial function, $$f\left(x\right)\ =\ 3x^2-7x^5+2+9x$$ , identify the correct end behavior for the right side.

Accepted Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ -\infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ \infty$$

Answer

$$\lim_{x\rightarrow-\infty}f\left(x\right)\ =\ -\infty$$

Answer

$$\lim_{x\rightarrow\infty}f\left(x\right)\ =\ \infty$$

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