Comparing Linear, Quadratic, and Exponential Functions

The functions f(x) = 2 + 2 and g(x) = + 2 are graphed on the coordinate plane below. For what x-values is g(x) < f(x)?

• x > 4

• x > 2

• 0 < x < 2 and x > 4

• 2 < x < 4

For which values of x is the exponential function below the linear function?

• from when x is 1 to when x is about 3.5

• from when x is 0 to when x is 1

• from when x is greater than about 3.5

• from when x is greater than 1

For what values of x is the exponential function greater than the linear function?

• When x is less than 0

• When x is between 0 and 3

• When x is greater than 3

• When x is less than 1

Which function below will translate  $f\left(x\right)=x^2$ right 4 units and up 2 unit?  

•  $f\left(x\right)=\left(x+4\right)^2-2$  

•  $f\left(x\right)=\left(4x\right)^2-2$  

•  $f\left(x\right)=\left(x-4\right)^2+2$  

•  $f\left(x\right)=\left(x-2\right)^2+4$  

Which function below will translate  $f\left(x\right)=2^x$  right 3 units and down 2 units.

•  $f\left(x\right)=2^{\left(x+3\right)}+2$  

•  $f\left(x\right)=\left(3\right)2^x+2$  

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

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

Tags

CCSS.HSF.BF.B.3