Chapter 3 test MB

Front

What is the vertical line test?

Back

A method used 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 DOMAIN refer to in a graph?

Back

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

Front

What is the range of a function?

Back

The set of all possible y-values (outputs) that a function can produce.

Front

What is a linear function?

Back

A function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

A function in which an independent variable is in the exponent, typically represented as f(x) = a * b^x.

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between a function and a relation?

Back

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

Front

How do you determine if a mapping is a function?

Back

Check if each input is paired with exactly one output. If any input has multiple outputs, it is not a function.

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a function?

Back

The y-coordinate of the point where the graph intersects the y-axis, represented as (0, b) in the equation y = mx + b.