Function and Relations

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

The table shown represents a proportional relationship. State the unit rate and explain what it means in this example.

• The unit rate is 2.5 and is the y-intercept.

• The unit rate is 0.4 and is the cost per pound.

• The unit rate is 0.4 and is the y-intercept.

• The unit rate is 2.5 and is the cost per pound.

A cab company charges a $5 boarding fee in addition to its meter, which is $3 for every mile. Graph the relationship between cost and miles.

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Find the slope of the line shown.

Write an equation in slope-intercept form (y = mx + b) for the line shown.

The graph shows the distance in relation to time of Ryan's sprints. There is a proportional relationship between the distance and the time. How many meters per second does Ryan sprint?

• 2 meters per second

• 6 meters per second

• 30 meters per second

• 50 meters per second

Write the equation for the graph shown.

Consider the table shown. Which statements below are true? SELECT ALL THAT APPLY.

• The slope is 3

• The slope is -3

• The y-intercept is 0.

• The y-intercept is 9.

What is the equation of the line shown?

What is the slope of the line shown?