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 notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input variable, e.g., f(x).

Front

How do you evaluate a function at a specific point?

Back

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

Front

What is the slope-intercept form of a linear function?

Back

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

Front

What does the term 'domain' refer to in functions?

Back

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

Front

What does the term 'range' refer to in functions?

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 find the y-intercept of a function?

Back

To find the y-intercept, set x = 0 in the function's equation and solve for y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

How do you solve for x in the equation f(x) = c?

Back

To solve for x, set the function equal to c and rearrange the equation to isolate x.