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

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 relation to be a non-function?

Back

A relation is a non-function if at least one input is associated with more than one output.

Front

Calculate f(-4) for f(x) = 5x - 12.

Back

f(-4) = 5(-4) - 12 = -32.

Front

Calculate f(-4) for f(x) = 2x + 3.

Back

f(-4) = 2(-4) + 3 = -5.

Front

Calculate f(6) for f(x) = 3x - 8.

Back

f(6) = 3(6) - 8 = 10.

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 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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the slope of a line in a function?

Back

The slope of a line in a function represents the rate of change of the function, calculated as the rise over run between two points on the line.