Functions Review (test FRIDY)

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 is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change varies and can include curves, parabolas, and other shapes.

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

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

Back

A graph represents a function if every x-value has exactly one corresponding y-value. This is known as the vertical line test.

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope of the line is 4.

Front

What is the rate of change in a function?

Back

The rate of change in a function refers to how much the output (y) changes for a change in the input (x). In linear functions, this is constant and equal to the slope.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, which occurs when x = 0.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

What is the slope of a line that rises 11 units for every 1 unit it runs?

Back

The slope of the line is 11.