Functions Before Calculus

Select the function below that does NOT have a restricted  domain.

•  $f\left(x\right)=\frac{1}{x+1}$  

•  $g\left(x\right)=\sin\left(\theta-30\degree\right)$  

•  $h\left(x\right)=\frac{x+1}{x^2-3x}$  
  

•  $k\left(x\right)=\sqrt{x+1}$  

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

What is the range of the absolute value function?

• (- $\infty$ , $\infty$ )

• [ 3, $\infty$ )

• [ 0, $\infty$ )

• (- $\infty$ , 3 ]

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

What is g(-2) if:

• -7

• 7

• 1

• -1

What is the RANGE?

• ( - $\infty$ , $\infty$ )

• ( -2, $\infty$ )

• [ -2 , $\infty$ )

• (- $\infty$ , 0) U (0, $\infty$ )

Given f(x) =  $\frac{3x+2}{x-1}$  , what is the domain of f(x)?

• [1,  $\infty$  )
  

• (- $\infty$  , 1) $\cup$  (1, $\infty$  )

• x = 1

• (- $\infty$  , $\infty$  )

Factor:
x² - 5x - 14

• (x - 2)(x + 3)
• (x - 2)(x + 7)
• (x + 2)(x - 7)
• (x - 2)(x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

Factor:
2x² -15x + 27

• (2x - 9)(x - 3)
• (2x + 9)(x + 3)
• (2x - 5)(x - 3)
• (x - 9)(x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)
• (x² + 1) (x - 343)
• (x - 7) (x² + 7x + 49)
• (x² - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4