Week 7 - Comparing Linear, Exponential and Quadratic

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

• $y\ =\ 100\ +\ 25x$

• $y\ =\ 100\ +\ 25x^2$

• $y\ =\ 100\left(0.25\right)^x$

• $y\ =\ 100\left(1.25\right)^x$

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

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

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Aaron can select between the following two payment plans.

Payment Plan 1: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by $5.

Payment Plan 2: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by 5%.

Which type of relationship is represented in Payment Plan 1?

• Linear

• Quadratic

• Exponential

Aaron can select between the following two payment plans.

Payment Plan 1: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by $5.

Payment Plan 2: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by 5%.

Which type of relationship is represented in Payment Plan 2?

• Linear

• Quadratic

• Exponential

Aaron can select between the following two payment plans.

Payment Plan 1: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by $5.

Payment Plan 2: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by 5%.

Which plan will eventually pay Aaron more money each week?

• Payment Plan 1

• Payment Plan 2

Tags

CCSS.HSF.BF.A.2

Put these functions in order from least to greatest based on their Y-INTERCEPT.

• B C A

• B A C

• C A B

• C B A

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9