Representing Functions

Front

What is a function?

Back

A function is a relationship between two sets of values where each input (x) is related to exactly one output (y).

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation for a function representing distance traveled at a constant speed of 80 km/h after t hours.

Back

Front

How do you represent the remaining gallons in a pool draining at a constant rate?

Back

Front

What is the equation for the amount of money left on a bus pass after x rides if it starts with $60 and deducts $1.50 per ride?

Back

Front

How do you calculate the total height of a building with n floors and an antenna?

Back

Front

What is the monthly cost function for a family cell phone plan with a base charge and additional members?

Back

Front

What is the slope in a linear function?

Back

The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) is the value of y when x is 0; it represents the starting point of the function on the y-axis.

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if the slope is positive (m > 0) and decreasing if the slope is negative (m < 0).