Power Functions Review

What is the end behavior of f(x) = 3x⁶ as x goes to negative infinity?

• positive infinity

• negative infinity

• zero

What is the end behavior of f(x) = -4x⁸ as x goes to positive infinity?

• positive infinity

• negative infinity

• zero

What is the domain of f(x) = 4x²?

• (negative infinity, positive infinity)

• (zero, infinity)

• (zero, negative infinity)

• (one, infinity)

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

. 
If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Explain what you know about the power function f(x) = 4x⁴

• Decreases for all x<0, increases for all x >0
• Decreases for all x>0, increases for all x < 0
• Increasing everywhere
• Decreasing everywhere

Which graph is linear?

• Graph A
• Graph B
• Graph C
• Graph D

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Tags

CCSS.HSF-IF.C.7A

Where is the function increasing?

• x ≤ 1
• x ≥ 1
• y ≤ −4
• y ≥ −4

Tags

CCSS.HSF-IF.C.7A

What are all the x-intercepts?

• (−2.55, 0), (2.55, 0)
• (−3,0), (−2,0), (2,0), (3,0)
• (0, 36)
• (−∞,∞)

Tags

CCSS.HSF-IF.C.7A