Alg2H Mod 1 Review

Rob can burn 25 calories every 2 minutes while biking. Yesterday, he rode his bike for 1 and a half hours.Write a function that models the number of calories, c, as a function of the time, t, in minutes.

Rob can burn 25 calories every 2 minutes while biking. Yesterday he rode his bike for 1 and a half hours. Give the Domain using interval notation.

Rob can burn 25 calories every 2 minutes while biking. Yesterday he rode his bike for 1 and a half hours. Which is the RANGE in set notation?

• $\left\{c\left|0\le c\le1125\right|\right\}$

• $\left[0,\ 1125\right]$
  

• $\left\{c\left|0\le c\le18.75\right|\right\}$

• $\left[0,\ 18.75\right]$

State the end behavior of the graph.

• 
  

  $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$ $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$
  

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$
  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow2$
  

• $As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$
  $As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$
  

What is the domain of the function. Check all that apply

• All Real Numbers

• $\left(-\infty,\infty\right)$

• $\left(2,\infty\right)$

• $-\infty\le x\le+\infty$

• $-\infty<x<\infty$

What is the Range of the function. Check all that apply

• All Real Numbers

•  $\left[2,\infty\right]$ 

• $\left(2,\infty\right)$

•  $2\le y\le+\infty$ 

•  $2<y<\infty$ 

Describe the transformations of the graph of

 $g\left(x\right)=-3x^2$  from the graph of  $f\left(x\right)=x^2$  

• Reflection over the y-axis, shift down 3

• Reflection over the x-axis, vertical stretch by a factor of 3

• Horizontal compression by a factor of -1/3

• Vertical stretch by a factor of 3

Describe the transformations to graph the function $g\left(x\right)=\left(-2x\right)^3$  from the graph of  $f\left(x\right)=x^3$  

• reflection over the x-axis, vertical stretch by a factor of 2

• reflection over the x-axis, horizontal stretch by a factor of 2

• reflection over the y-axis, vertical stretch by a factor of 2

• reflection over the y-axis, horizontal compression by a factor of 1/2

Describe the transformations of the graph of $g\left(x\right)=f\left(x+5\right)-2$ 

from the graph of  $f\left(x\right)$  

• right 5, up 2

• right 5, down 2

• left 5, down 2

• left 5, up 2

The formula : $F=\frac{9}{5}C+32$  

  is used to convert temperature in Celsius to degrees Fahrenheit. Find an equation for the inverse of the function.  

•  $C=\frac{5}{9}F-\frac{160}{9}$  

•  $F=\frac{C-32}{1.8}$  

•  $C=1.8F-17.78$  

•  $C=F-17.78$