Unit 1 - Functions Review

What is the domain of the function?

What is the range of the function?

Evaluate the function when x = 4

• f(4) = 2(4) - 5 = 3

• f(4) = 2(4) - 5 = -1

• f(4) = ½(4) + 1 = 3

• f(4) = 4

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

• -3
• -1
• 1
• 3

If f(x) = 7x and g(x) = x^2 + 10, then g(f(1)) = ______

• 7
• 11
• 59
• 77

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

What is/are the increasing interval(s) for the function shown?

Over what interval is this function constant?

• -5 < x < -2

• -3 < x < 4

• 4 < x < 8

• -5