8.EE.6 Checkpoint 2.4

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value (x), there is one and only one output value (y).

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 x-value is unique.

Front

If my function rule is x - 5, what is the OUTPUT if the input is 14?

Back

The output is 9, because 14 - 5 = 9.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 4?

Back

The equation is y = 2x + 4.

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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and can graph as a curve.

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

How do you find the output of a function given an input?

Back

Substitute the input value into the function rule and simplify to find the output.

Front

What is the domain of a function?

Back

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