Evaluate the function ƒ(x) = 6x – 5 at ƒ(1)

Find all real values of x such that ƒ(x) = 0 for ƒ(x) = 42 – 6x

1

To evaluate a function, we:

Multiply f times the given number or expression

Substitute its variable with a given number or expression

Multiply the variable times the given number or expression

All of the answers are correct

To visually determine if a graph represents a function or not, we can use:

Vertical Line Test

Horizontal Line Test

Domain and Range Test

There is no way to determine from a graph.

The table below describes a function.

Input

Value

Output

Value

2001

2002

2003

2004

2005

30

60

30

50

40

True

False

Evaluate the function ƒ(x) = 6x – 5 at ƒ(1)

2

1

-1

0

2

What is the range of a function? Show your work

Find all real values of x such that ƒ(x) = 0 for ƒ(x) = 42 – 6x

7

5

9

6

8

What is the domain of the function?

The set of “x” values that will produce a “y” value

The set of “y” values that will produce an “x” value

All real numbers

Impossible to be determined

Find the zeroes of the function algebraically. Write the answer, if applicable, in fraction form. Show

your work

ƒ(x) = 2×2 – 3x -20

3

Find (ƒ+g)(x) for ƒ(x) = x+3, g(x) = x – 3

2x

3x

-2x

2x+6

Find (ƒ-g)(x) for ƒ(x) = x + 6, g(x) = x – 6

2x – 12

12

2x – 6

2x + 12

Find (ƒg)(x) for:

7×3 + 6×2

7×3 – 6×2

7×2 – 6×3

7×2 + 6×3

4

Find ƒ ∘ g for:

x2

(x – 5)2

(x + 5)2

x2 – 5

Select the correct description of right-hand and left-hand behavior of the graph of the

polynomial function.

Falls to the left, rises to the right.

Falls to the left, falls to the right.

Rises to the left, rises to the right.

Rises to the left, falls to the right.

Falls to the left.

Describe the right-hand and the left-hand behavior of the graph of

Because the degree is odd and the leading coefficient is positive, the graph falls to the

left and rises to the right.

Because the degree is odd and the leading coefficient is positive, the graph rises to the

left and rises to the right.

Because the degree is odd and the leading coefficient is positive, the graph falls to the

left and falls to the right.

Because the degree is odd and the leading coefficient is positive, the graph rises to the

left and falls to the right.

5

Using an online calculator, sketch the graph of the function to find the zeroes of the

polynomial.

0,2,3

0,2,-3

0,-2,3

1,2,3

Any non-zero number divided by zero is: Show your work

Select the graph of the function and determine the zeros of the polynomial: f(x) = x2(x-6).

Indicate which graph below is the correct one: 1st, 2nd, 3rd, or 4th.

6

7

The height, h(x), of a punted rugby ball is given by

where x

is the horizontal distance in feet from the point where the ball is punted. How

far, horizontally, is the ball from the kicker when it is at its highest point? (Hint:Examine

the vertex of this quadratic function)

28 feet

13 feet

18 feet

23 feet

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in

hundreds of dollars) the company spends on advertising according to the model. P(x) = 230

+ 40x – 0.5×2 What expenditure for advertising will yield a maximum profit? (Hint:

Examine the vertex of this quadratic function)

40

0.5

230

20

The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p) =

-10p2 + 130p where p is the price charged per pet (in dollars). Find the price that will yield a

maximum revenue.

$7.5

$6.5

$8.5

$10.5