Calculating The Volume Worksheet (Page 3 of 4) in pdf

7.The profit (in $) a company

Answer in interval notation.

c.Find the increasing region in inequality form.

makes from selling (x) video

games can be represented by

a.What is the domain of this

the function

Find the decreasing region in inequality form.

function?

�� ( �� ) = −.1��

+ 90�� − 8000

a. calculator window:

d. How many video games must they produce

and sell to make a profit of $4000?

x-min:

x-max:

b.What is the range of this

function?

e. Determine the zeros of the function and

y-min:

y-max:

describe in context.

8. Determine the x-intercepts of each function in factored form. Write answers as ordered pairs. NO Calculator

a. �� ( �� ) = 4 ( �� + 3 )( �� − 1 )

b. �� ( �� ) = −0.3�� ( �� − 0.7 )

9. Write a quadratic function in INTEGER, factored form with each set of given characteristics. NO Calculator

a. Write a quadratic function that represents a parabola

b. Write a quadratic function that represents a parabola

that opens downward and has x-intercepts ( -5/2, 0) and

that opens upward and has x-intercepts (0, 0) and

( 9, 0).

( 1/3, 0) .

10. Determine the x-intercepts using your graphing calculator. Write the function in factored form. Calculator

d. �� ( �� ) = ( −2�� + 8 )( �� − 14 )

a. �� ( �� ) = −��

− 20�� − 75

c. �� ( �� ) = −3��

+ 9�� + 12

11. Identify the vertex and the equation of the axis of symmetry for each vertical motion model.

Hint: write the vertical motion model first. Calculator

a. A catapult hurls a pineapple from a height of 9 feet

b. A football is thrown from a height of 5.5 feet at an

at an initial velocity of 103 feet per second.

initial velocity of 69 feet per second.

Vertex:

Axis of symmetry:

12. Determine the axis of symmetry of each parabola. NO CALC. You must show your work 

a. The x-intercepts of a parabola are (-5, 0) and (22, 0).

b. Two symmetric points on a parabola are (-3, 13) and

(15, 13).

13. Determine the vertex of each parabola. NO CALC. You must show your work 

a.�� ( �� ) = ��

b.�� ( �� ) = −��

− 4�� + 4 axis of symmetry: x = 2

− 14�� − 45 x-intercepts(−9,0) and

(−5,0).

Calculating The Volume Worksheet Page 3

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