Unit 1 Ch. 1 Test 8H: Functions

Front

What is a function in mathematical terms?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you evaluate a function at a specific point?

Back

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

Front

What does it mean for a set of values to represent a function?

Back

A set of values represents a function if no x-value is repeated with a different y-value.

Front

Given f(x) = 3(6 - x), how do you find f(-8)?

Back

Substitute -8 for x in the function: f(-8) = 3(6 - (-8)) = 3(14) = 42.

Front

What is the output of the function h(x) = 5 - 9x when x = 8?

Back

h(8) = 5 - 9(8) = 5 - 72 = -67.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How can you determine if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, the relation is not a function.

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 slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.