Comparing Linear, Quadratic, Exponential [Moderate]

As x becomes very large, which of the following functions will have the greatest value?

• $y\ =\ 100\ +\ 25x$

• $y\ =\ 100\ +\ 25x^2$

• $y\ =\ 100\left(0.25\right)^x$

• $y\ =\ 100\left(1.25\right)^x$

In the table, function 1 is

• Linear

• Quadratic

• Exponential

In the table, function 2 is

• Linear

• Quadratic

• Exponential

In the table, function 3 is

• Linear

• Quadratic

• Exponential

Based on the table, which function will have the greatest y-value for x = 100?

• Function 1

• Function 2

• Function 3

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=0

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=2

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=4

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=6

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=8

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$