Relations & Functions
Linear or Nonlinear?
Name that Function!
(y=mx+b)
(y=mx+b)
Comparing Functions
100
Is it a function:
NO! a has two different outputs
100
Is the following graph linear or nonlinear?
Nonlinear
100
The store charges $2.50 per cup of coffee. Write a function for this situation. Use y to represent cost and x to represent cups of coffee.
What is y = 2.50x
100
Which function has a greater initial value? g(r) or h(r)? **Note: g(r) is given as an equation and h(r) is given in a table of values**
h(r) has the greatest y-intercept!
y-int =8
g(r)
y-int=7
200
Is this a function:
Yes! Each input is paired with only 1 output.
200
Does the following equation represent a Linear function or a Nonlinear function?
y=x/2+4
Linear!
And, it is in slope-intercept form (1/2 is the slope and 4 is the y-intercept).
200
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
What is y= 25x + 100
200
They are increasing at the same rate 3/4.
300
Is this a function:
NO! Fails the verticle line test.
300
Which of the following are LINEAR functions? Select all that apply.
Linear functions:
A, B, E, F
300
Write the equation for the graph pictured below:
y= -4x+30
300
Which has a smaller rate of change the equation or the graph?
The equation has a smaller rate of change 5/4 compared to 2
400
Is the following graph function:
NO! when x=0 there are two different y values.
400
Does the table below represent a Linear Function or a Nonlinear Function?
Linear!
The x's are increasing by 2.
The y's are decreasing by 4.
The slope would be -4/2 or -2
400
Write the linear equation for the table below:
y= 3x-7
400
Which has a higher rate of change? Function G or F?
F is higher its rate is 4
G has a rate of 3.5