HW 16- Functions & Evaluating Functions

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 range of the function f(x) with elements (-7, 3), (-1, 6), and (8, -3)?

Back

The range of the function is {-3, 3, 6}.

Front

Given h(x) = 5 - 9x, find h(8).

Back

h(8) = -67.

Front

What does the graph of a function represent?

Back

The graph of a function represents the relationship between the input (x-axis) and output (y-axis) values.

Front

What is the domain of a function?

Back

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

Front

What is an independent variable in a function?

Back

An independent variable is the variable that represents the input values of a function.

Front

What is a dependent variable in a function?

Back

A dependent variable is the variable that represents the output values of a function, which depend on the independent variable.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.