Nonlinear Systems Given Table or Equations

Nonlinear Systems Given Table or Equations

Example 1

Fill in the Blank

Two stores have movies to rent:

Store 1: Netflix charges a $12.50-per-month membership fee plus $1.50 per movie rented.

Store 2: Amazon Prime has no membership fee but charges $3.50 per movie rented.

What is the minimum number of movies a person would need to rent in a month for Netflix to be a better deal?

Example 2

Using the table below, when does f(x)=g(x)? 

Multiple Choice

Using the table below, when does f(x)=g(x)?

• 
  

  $x=-4$
  

• $x=-2$

• $x=0$

Multiple Choice

Two functions are shown in the table below.

Which statement is true about the two functions when x=-6?

• The value of f(x) exceeds the value of g(x) by 56.

• The value of g(x) exceeds the value of f(x) by 56.

• The value of f(x) exceeds the value of g(x) by 72.

• The value of g(x) exceeds the value of f(x) by 72.

Example 3

Multiple Choice

Solve by graphing on Desmos:

y = x² - 3x

y = -x² - 3x

• (0, 0) and (0, 3)

• (3, 0) and (-3, 0)

• (0, 0)

• No solution

Multiple Choice

Solve by graphing on Desmos:

y = x² + 3x - 5

y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)