Unit 2 Test: Functions

Find the DOMAIN and RANGE of the Radical Function

• $Domain\ \left(0,\ \infty\right);\ Range\ \left(-4,\ \infty\right)$

• $Domain\ \left(4,\ \infty\right);\ Range\ \left(-4,\ \infty\right)$

• $Domain\ \left(-\infty,\ 0\right);\ Range\ \left(-\infty,\ -4\right)$

• $Domain\ \left(-4,\ \infty\right);\ Range\ \left(0,\ \infty\right)$

Which function is represented by this graph?

• $y=\sqrt{x-1}-3$

• $y=\sqrt{x-3}-1$

• $y=\sqrt{x+1}-3$

• $y=\sqrt{x-3}+1$

Tags

CCSS.HSF-IF.C.7B

Which function is represented by the graph?

• $f\left(x\right)=\frac{1}{2}x+3$

• $f\left(x\right)=x+3$

• $f\left(x\right)=\frac{1}{x}$

• $f\left(x\right)=\frac{2}{x}+3$

Tags

CCSS.HSF-IF.C.7D

The function  $\frac{1}{x}$ is increased by a scale factor of 2, shifted left 5, and shifted up 7. What is the new function?

•  $y=\frac{2}{x-5}+7$  

•  $y=\frac{2}{x+5}+7$  

•  $y=\frac{2}{x-7}+5$  

•  $y=\frac{2}{x+7}+5$  

Tags

CCSS.HSF.BF.B.3

If $\sqrt{x}$  becomes  $\sqrt{x-4}+8$  , what is the translation?

• Left 4 and Up 8

• Left 8 and Up 4

• Right 8 and Up 4

• Right 4 and Up 8

Tags

CCSS.HSF.BF.B.3

Find the DOMAIN of the Rational Function

•  $\left(-\infty,3\right)\cup\left(3,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)\cup\left(3,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)\cup\left(0,\ \infty\right)$  

•  $\left(-\infty,\ 4\right)\cup\left(4,\ \infty\right)$  

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the graph of the function  $y=\sqrt{x}+4$  ?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

What is the DOMAIN of  $f\left(x\right)=\sqrt{x-3}$  ?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(3,\ \infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(-3,\ \infty\right)$  

Identify the vertex of the graph of the function  $y=-3\left(x+2\right)^2+5$  

• (-2, 5)

• (2, 5)

• (-3, 2)

• (-3, 5)

Which equation represents the graph of  $y=x^2$   translated 5 units right and 4 units up? 

•  $y=\left(x+4\right)^2-5$  

•  $y=\left(x-4\right)^2+5$  

•  $y=\left(x+5\right)^2-4$  

•  $y=\left(x-5\right)^2+4$