Review for 0.5 Test

Identify the domain:
f(x) = √(x - 2) + 1
OR  f(x) = (x - 2)^1/2 + 1

• [2, oo)
• (-oo, oo)
• x ≠ 2
• [1, oo)

Identify the domain:
f(x) = 1 / (x - 5) 
OR  f(x) = (x - 5)^-1

• [5, oo)
• (5, oo)
• (-oo, oo)
• x ≠ 5

Identify the domain:
f(x) = 1 / √x 
OR  f(x) = x^-1/2

• (0, oo)
• [0, oo)
• (-oo, 0] U [0, oo)
• x ≠ 0

Does this mapping diagram represent a function?

• No
• Yes

Tags

CCSS.8.F.A.1

• Function
• Not a Function

On what interval is the function DECREASING?

• (0, -∞ )
• (0, ∞ )
• (4, -∞ )
• (-∞ , ∞ )

On what interval is the function POSITIVE?

• (-2, 2)
• (-∞, 0)
• (0, 4)
• [0, 4]

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

• $\left(-3,\ 1\right)$

• $\left(4,\ 8\right)$

• $\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

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 the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)