Evaluating 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 does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Front

What is the notation for a function?

Back

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

Front

How do you find f(x) for a given x?

Back

Substitute the value of x into the function's equation and simplify to find the output.

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 is the y-intercept of a function?

Back

The y-intercept is the value of the function when x = 0.

Front

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

Back

Set the function equal to k and solve for x.

Front

What is the domain of a function?

Back

The domain 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 is the set of all possible output values (y-values) that the function can produce.

Front

Evaluate g(x) = 5 - 6x for x = -5.

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.