Relations and functions/domain /composite basic

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

• Function
• Not a Function

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20
• f(-1) = -24

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x² + 31
• g(f(x))= -6x² + 24
• g(f(x))=18x² - 84x + 90
• g(f(x))=9x² - 42x - 41

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

What is the DOMAIN?

• (4, ∞)
• (-4, ∞)
• [-3, 3)
• (-3, 3]

Given f(x)= x² + 25 and

g(x)= x - 5,

find     (f+g)(x). 

• x² + x - 20
• x² + x + 20
• -x² + x - 20
• x² - x - 20

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

What is the RANGE for the following graph?

• (-∞, ∞)

• (-∞, 0]

• [-12, 12]

• [-4, 0]