Terry -Algebra Linear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is the value of y when x = 0.

Front

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

Back

A function is increasing if the y-values rise as the x-values increase. It is decreasing if the y-values fall as the x-values increase.

Front

What does it mean for a function to be constant?

Back

A function is constant if its output value does not change regardless of the input value. This means the graph is a horizontal line.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you identify intervals of increase and decrease on a graph?

Back

Intervals of increase are where the graph rises from left to right, while intervals of decrease are where the graph falls from left to right.

Front

What is a function's vertex?

Back

The vertex of a function is the highest or lowest point on the graph of a quadratic function, representing the maximum or minimum value.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input variable.