Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does f(5) represent in a function?

Back

f(5) represents the output of the function f when the input is 5.

Front

How do you evaluate f(x) = 2(x - 7) at x = 5?

Back

f(5) = 2(5 - 7) = 2(-2) = -4.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What does it mean if a mapping is not a function?

Back

A mapping is not a function if at least one input is associated with more than one output.

Front

How do you read f(x)?

Back

f(x) is read as 'f of x'.

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?

Back

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