Quiz about Key Features of Functions

Question 1

Describe the LEFT END behavior

Accepted Answer

$$X\rightarrow-\infty,\ F\left(X\right)\ \rightarrow-\infty$$

Answer

$$X\rightarrow-\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow-\infty$$

Question 2

Select THREE TRUE statements

Accepted Answer

The y-intercept is at (0, -4).

Accepted Answer

There are three zeros at x=-1, x=2, x=4.

Accepted Answer

The function has one local maximum and an absolute maximum.

Answer

The domain is [-1, 4].

Answer

The function has four local maximum points.

Question 3

What is the sum of the zeros of this function?

Accepted Answer

5

Answer

8

Answer

4

Answer

7

Question 4

Describe the extrema occurring at x = -1.

The extrema is a ________ maximum.

Accepted Answer

relative

Answer

local

Answer

infinite

Answer

absolute

Question 5

Describe the RIGHT end behavior of the function.

Accepted Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow-\infty,\ F\left(X\right)\rightarrow-\infty$$

Answer

$$X\rightarrow-\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow-\infty$$

Question 6

Describe the LEFT end behavior of the function.

Accepted Answer

$$X\rightarrow-\infty,\ F\left(X\right)\rightarrow-\infty$$

Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow-\infty,\ F\left(X\right)\rightarrow\infty$$

Answer

$$X\rightarrow\infty,\ F\left(X\right)\rightarrow-\infty$$

Question 7

The function shown in the graph is:

Accepted Answer

odd because it is symmetric with the origin

Answer

even because it is symmetric with the y-axis

Answer

odd because it is symmetric with the y-axis

Answer

even because it is symmetric with the origin

Question 8

What type of discontinuity is happening at x = 0?

Accepted Answer

Infinite

Answer

Jump

Answer

Hole/Removable

Answer

Steady

Question 9

The function in the graph is:

Accepted Answer

even because it is symmetric with the y-axis

Answer

odd because it is symmetric with the origin

Answer

even because it is symmetric with the origin

Answer

odd because it is symmetric with the x-axis

Question 10

The function shown in the graph is:

Accepted Answer

Neither

Answer

Even

Answer

Odd

Question 11

What is the domain?

Accepted Answer

[0, 24]

Answer

(0, 24)

Answer

(30, 80)

Answer

[30, 80]

Question 12

What type of discontinuity is happening at x = -3?

Accepted Answer

Hole/Removable

Answer

Infinite

Answer

Jump

Answer

Steady

Question 13

What type of discontinuity is happening at x = 2?

Accepted Answer

Jump

Answer

Hole/Removable

Answer

Infinite

Answer

Steady

Question 14

What type of discontinuity is happening at x = 4?

Accepted Answer

Infinite

Answer

Hole/Removable

Answer

Jump

Answer

Steady

Question 15

Given f(x)= $$\sqrt[]{x-6\ }+x^2,\ $$ find f(10).

Accepted Answer

102

Answer

88

Answer

64

Answer

39

Question 16

Given f(x)= $$\sqrt[]{x-3\ }+x^{ },\ $$ find f(7).

Accepted Answer

9

Answer

12

Answer

15

Answer

-4

Question 17

Which graph is NOT a function?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 18

Is this a function?

Accepted Answer

No

Answer

Yes

Question 19

Is this a function?

Accepted Answer

No

Answer

Yes

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