Comparing Functions Practice

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).

Front

How do you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right, and negative if it falls from left to right.

Front

What does the y-intercept of a function represent?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It represents the output value when the input (x) is zero.

Front

How can you compare the y-intercepts of two functions?

Back

You can compare the y-intercepts by evaluating the functions at x=0 and comparing the resulting output values.

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two functions to have the same y-intercept?

Back

Two functions have the same y-intercept if they cross the y-axis at the same point, meaning they have the same output value when x=0.

Front

How can you find the y-intercept from an equation in standard form?

Back

To find the y-intercept from an equation in standard form (Ax + By = C), set x=0 and solve for y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does it mean if all output values of a function are less than 0?

Back

If all output values of a function are less than 0, the function is entirely below the x-axis.

Front

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

Back

A function is increasing if its slope is positive and decreasing if its slope is negative.