Function Evaluation & AROC

Evaluate f(-1) if

 $f\left(x\right)=-\sqrt{2x^2-7x}$  

• No real answer

• 3

• -3

• -9

Evaluate   f (a + 1)   if 

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

•  $\frac{a+2}{a^2}$  

•  $\frac{1}{a}$  

•  $\frac{a+2}{a^2+a}$  

•  $\frac{a+2}{a^2+2a}$  

A bacteria population doubles every 12 hours. Its growth is modeled by the function f(t) where t is the time in hours

 $f\left(t\right)=5\left(2\right)^{\frac{t}{12}}$  . What is the bacteria population after 6 days?

Find g(1/4) for

 $g\left(x\right)=\frac{-x-6}{5}$     Write answer in fraction form.

The function c(m) = 1.45m + 3.50 models the cost of a taxi ride for m miles.

What does c(m) represent?

• Total Cost of a taxi ride

• Total Miles in taxi

• c(m) does not represent anything. It is just the function's name.

 $f\left(x\right)=x^2-x$  and  $g\left(x\right)=\left|3-x\right|$  
Find  $-\frac{1}{2}g\left(x\right)+3f\left(x\right)\ when\ x=1$  

 $f\left(x\right)=\sqrt{2\left(x+5\right)}\ and\ g\left(x\right)=\frac{1}{2x}$  
Find  $\left(f-g\right)\left(3\right)$  

Write answer in improper fraction form.

What is the rate of change for the interval 3≤x≤5

• 4

• 1/4

• -4

• -1/4

Find the Average Rate of Change (AROC) between x = 4 and x = 10 for the function.  $g\left(x\right)=x^2-2$  

• 14

• 16.5

• 17

• 12

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts