Quiz about Precalc Functions

Question 1

What is the definition of function?

Accepted Answer

Every input has only ONE output

Answer

Has inputs and outputs

Answer

Inputs have different outputs every time

Answer

x-values and y-values

Question 2

Is this graph a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 3

How many relative minimums does this function have?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 4

What is the absolute maximum?

Accepted Answer

6.5

Answer

None

Answer

All real numbers

Answer

1

Question 5

What is the y intercept?

Accepted Answer

(0,2)

Answer

x = 1

Answer

y = 1

Answer

(2,0)

Question 6

What is g(7) if:

Accepted Answer

17

Answer

-17

Answer

-13

Answer

13

Question 7

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 8

Question 8.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 9

$$y=x^2+3x+9$$

Accepted Answer

Function - neither even nor odd

Answer

Even Function

Answer

Odd Function

Answer

Not a function

Question 10

$$y=8x^{12}-8x^4+6x+22$$

Accepted Answer

Function - neither even nor odd

Answer

Even Function

Answer

Odd Function

Answer

Not a function

Question 11

$$y=7x^8-9x^2+33$$

Accepted Answer

Even Function

Answer

Odd Function

Answer

Function - neither even nor odd

Answer

Not a function

Question 12

$$y=\frac{x^3+x}{3x^2-4}$$

Accepted Answer

Odd Function

Answer

Even Function

Answer

Function - neither even nor odd

Answer

Not a function

Question 13

The function shown in the graph is:

Accepted Answer

Odd

Answer

Even

Answer

Neither Even nor Odd

Answer

Not a Function

Question 14

Which table definitely represents an odd function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Accepted Answer

-f(x)

Answer

f(-x)

Answer

f-1(x)

Answer

f(2x)

Question 16

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 17

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

Accepted Answer

Reflect over y-axis
Left 3

Answer

Reflect over y-axis
Right 3

Answer

Reflect over x-axis
Left 3

Answer

Reflect over x-axis
Right 3

Question 18

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

Accepted Answer

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

Answer

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

Answer

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

Answer

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

Question 19

Describe the transformation of y = f(x) to the new function
y = f(1/5x)

Accepted Answer

Horizontal stretch by a factor of 5

Answer

Horizontal shrink by a factor of 1/5

Answer

Vertical stretch be a factor of 5

Answer

Vertically shrink by a factor of 1/5

Question 20

Which equation describes the transformation of shifting f(x)=x³ four units down?

Accepted Answer

x3- 4

Answer

x3+ 4

Answer

(x - 4)3

Answer

(x + 4)3

Question 21

(L3) Given f(x)= x²+ 25 and g(x)= x - 5, find (f+g)(x).

Accepted Answer

x²+ x + 20

Answer

x²+ x - 20

Answer

-x²+ x - 20

Answer

x²- x - 20

Question 22

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

Accepted Answer

-2

Answer

7

Answer

-9

Answer

-10

Question 23

The perimeter of the new Football Stadium is 560 yards. If the length is 70 more yards than the width, what are the dimensions of the Stadium?

Accepted Answer

width = 105 yards, length = 175 yards

Answer

width = 245 yards, length = 315 yards

Answer

width = 122.5 yards, length = 192.5 yards

Answer

width = 490 yards, length = 560 yards

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