Linear Functions

Front

What is a linear function?

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

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What is the slope in a linear function?

Back

The slope (m) in a linear function 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 point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How do you identify a linear equation?

Back

A linear equation can be identified by its form, which is y = mx + b. It has no variables raised to a power greater than 1.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is a non-linear function?

Back

A non-linear function is a function that does not form a straight line when graphed. It may include quadratic, cubic, or other polynomial functions.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3.

Front

What is an example of a non-linear function?

Back

An example of a non-linear function is y = x^2 + 2.

Front

What does it mean for a mapping to be a function?

Back

For a mapping to be a function, each input must correspond to exactly one output.