Real World Graphs

Functions, Domain & Range, & Inequalities

Real World

By Patrick Resch

​Tony has been investing part of his pay check for the past 10 years. The amount of money he has saved can be represented by the function f(x)=2x²+1000. If he has tracked this using the domain {x | x= 1,2,5,10} What is the range?

Multiple Choice

Tony invested $1000 10 years ago. The amount of money he has saved can be represented by the function f(x)=2x²+1000. If he has tracked this using the domain {x | x= 1,2,5,10} What is the range?

• {f(x) | f(x) = 1002, 1008, 1050, 1200}

• {f(x) | f(x) = 1002, 1008, 1080, 1200}

• {f(x) | f(x) = 1002, 1004, 1025, 1200}

• {f(x) | f(x) = 1000, 1010, 1020, 1030}

​Sarah was was running an experiment tracking the force of a frog as it jumps of the ground. Which one of the following graphs would not show a functional relationship?

Multiple Choice

Sarah was was running an experiment tracking the force of a frog as it jumps of the ground. Which one of the following graphs would not show a functional relationship?

Fill in the Blanks

A certain function is represented by

$f\left(x\right)=-7x^2+3x-2$  

What is the value of

$f\left(-2\right)$  

​Macy was using the function f(x)=2x+3 to track the number of points she would could get on her final exam. But she only wanted to see the possible score she could get. Which one of the following ranges would give her the possible scores she could get?

Multiple Choice

Macy was using the function f(x)=2x+3 to track the number of points she would could get on her final exam. But she only wanted to see the possible score she could get. She knew the maximum score was 100 and the minimum was 0. Which one of the following ranges would give her the possible scores she could get?

• $$0<f\left(x\right)\le100$$  

• $$0\le f\left(x\right)\le100$$  

• $$f\left(x\right)<100$$  

• $$f\left(x\right)\le100$$