Unit 4 Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the initial value in a linear function?

Back

The initial value is the starting point of the function, often represented by the y-intercept in the equation.

Front

How can you determine the rate of change from a linear equation?

Back

The rate of change is represented by the slope (m) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where m is the slope and b is the y-intercept.

Front

If a function has a slope of 5, what does this indicate?

Back

A slope of 5 indicates that for every 1 unit increase in x, y increases by 5 units.

Front

What is the significance of the equation y = -25x + 120?

Back

This equation indicates a linear relationship where y decreases by 25 for every increase of 1 in x, starting from 120.

Front

How do you find the cost function for a pizza based on toppings?

Back

The cost function can be expressed as P(t) = mt + b, where m is the cost per topping and b is the base cost.