Functions Review

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 does 'b' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated using the formula: slope = (change in y) / (change in x).

Front

What is the y-intercept of a graph?

Back

The y-intercept is the value of y when x is 0, represented as the point (0, y).

Front

What is the slope of the line represented by the equation y=2x+3?

Back

The slope of the line is 2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; as x increases, y decreases.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

Front

How can you identify a function from a set of points?

Back

A set of points represents a function if no two points have the same x-coordinate.

Front

What is the formula for finding the y-intercept from a linear equation?

Back

To find the y-intercept from a linear equation in the form y=mx+b, simply identify the value of b.