Function station review

Function station review

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1. A rocket is launched from a height of 5 feet and follows a path illustrated by

f(x) = -.002x² + 30x + 5.

What is the maximum height the rocket will reach? (hint: graph it)

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2. Evaluate the rate of change between

x = 2 and x = 4 for

f(x) = x³ - 4x + 5.

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3. What is f(x + 2)?

f(x) = 3x² + 6x – 4.

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4. A farmer wants to enclose a rectangular pen with 1000 feet of fencing.

a) What dimensions would maximize the area of the pen?

b)What is the maximum area?

Write your answer as a)____' x ____', b) _______ sqft

oink, cluck, moo

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5. Determine Algebraically, whether the function is odd, even or neither.

g(x) = 3x³ + 2x² – 1

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6. What are the Domain and Range of the function, in interval notation? Write D = _______, R = ________

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7. Determine whether the function is odd, even or neither. Why?

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8. In interval notation,

a) where is the function increasing?

b) where is the function decreasing?

c) is the L.C. positive or negative?

d) what is the degree of the polynomial?

Write a)______, b)_______, etc...

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9. For the function

f(x) = 0.4x³ + 8x² – 7

Graph on Desmos.

a) Find the maximum point.

b) Find the minimum point.

c) Find y when x = 20.

Write a) max _______, b) min ______, c) y = ______