Functions/Not Functions/Linear

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

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each first element (x-value) is unique.

Front

What is the y-intercept of the line: y = 2/3x - 4?

Back

The y-intercept is -4.

Front

What is the y-intercept of the line: y = -2x + 6?

Back

The y-intercept is 6.

Front

Identify the slope from the equation y = -x - 6.

Back

The slope (m) is -1.

Front

Is the graph of a vertical line a function?

Back

No, a vertical line is not a function because it fails the vertical line test.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the standard form of a linear equation?

Back

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

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).