Pre-Calc Chapter 1 Review

Pre-Calc Chapter 1 Review

Multiple Choice

Select the graph of

 $f\left(x\right)=\left|x+2\right|-1$  

Multiple Choice

Select the graph of

 $g\left(x\right)=3\left(x+1\right)^2+2$  

Multiple Choice

Select the graph of

 $f\left(x\right)=2\left(x-1\right)-3$  

Multiple Choice

Write the equation of the line that goes through the points

(3, -1) and (1, -3)

• $y+1=-1\left(x-3\right)$

• $y+1=\left(x-3\right)$

• $y-1=\left(x+3\right)$

Multiple Choice

Write the equation of the line that goes through the points

(-3, 2) and (1, 5)

•  $y-2=\frac{3}{4}\left(x+3\right)$ 

•  $y+2=\frac{3}{4}\left(x-3\right)$ 

•  $y-3=-\frac{3}{4}\left(x+2\right)$ 

Multiple Choice

Given the functions:

 $f\left(x\right)=x^2+3$  and  $g\left(x\right)=\sqrt{x}$  

Find  $f\left(g\left(4\right)\right)$  

• 5

• 19

• 7

Multiple Choice

Given the functions:

 $f\left(x\right)=x^2+3$  and  $g\left(x\right)=\sqrt{x}$  

Find  $f\left(3\right)-g\left(5\right)$  

• 17

•  $12-\sqrt{5}$  
  

•  $12\sqrt{5}$  
  

Multiple Choice

Given the functions:

 $f\left(x\right)=x^2+3$  and  $g\left(x\right)=\sqrt{x}$  

Find  $f\cdot g\left(9\right)$  

• 252

•  $87$  
  

•  $108$  
  

Multiple Choice

Given the functions:

 $f\left(x\right)=x^2+3$ 

Find  $f^{-1}\left(x\right)$  

•  $f^{-1}\left(x\right)=\sqrt{x-3}$  
  

•  $f^{-1}\left(x\right)=x^2-3$  
  

•  $f^{-1}\left(x\right)=\sqrt{x^2-3}$  
  

Multiple Choice

Use the table to determine $f\left(-2\right)+g\left(3\right)=$  

• -1

• -17

• 1

Multiple Choice

Use the table to determine $f\left(g\left(2\right)\right)=$  

• -8

• 11

• -3

Multiple Choice

Use the table to determine $f\left(f\left(3\right)\right)=$  

• 7

• 3

• 10

Multiple Choice

What is the domain?

• $\left(-2,3\right)$

• $\left(-\infty,3\right]$

• $\left(-\infty,\infty\right)$

Multiple Choice

What is f(0)?

•  $-2$ 

•  $0$ 

•  $3$ 

Multiple Choice

The function is increasing from  $\left(-\infty,-1.12\right)$  only?

• True

• False

Multiple Choice

The function is decreasing from  $\left(-1.12,\ 1.786\right)$  only?

• True

• False

Multiple Select

Select all the value where f(x) = 0

• x=0

• x=2

• x=-2

• x=3

Multiple Select

Select all the x-values value where f(x) has a relative maximum.

• x= - 1.12

• x= 4.061

•  $x=\infty$  
  

• x=1.786

Multiple Select

Select all the x-values value where f(x) has a relative minimum.

• x= - 1.12

• x= 4.061

•  $x=\infty$  
  

• x=1.786