Chapter 3 Make-Up

Front

What is the Range?

Back

The Range of a function is the set of all possible output values (y-values) that the function can produce. For example, if the function outputs values less than or equal to 6, then the Range is y ≤ 6.

Front

What is the Domain?

Back

The Domain of a function is the set of all possible input values (x-values) that the function can accept. For example, if the function accepts values from -3 to 3, then the Domain is {-3, -2, -1, 0, 1, 2, 3}.

Front

Find the zero(s) for f(x) = -2x + 8

Back

To find the zero(s), set f(x) to 0: 0 = -2x + 8. Solving gives x = 4.

Front

Is this graph a function or not a function?

Back

A graph is a function if every x-value has exactly one corresponding y-value. If it passes the vertical line test, it is a function.

Front

All of the x values or inputs are called what?

Back

The x values or inputs of a function are called the Domain.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a function to be linear?

Back

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

Front

What is a slope?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, b) in the equation f(x) = mx + b.