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 f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific value?

Back

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

Front

What is the value of f(-3) if f(x) = x?

Back

-3

Front

Evaluate f(x) = 3x - 5 at x = -1.

Back

-8

Front

What is the output of f(x) = x^2 when x = -5?

Back

25

Front

If f(x) = -2x^2, what is f(-7)?

Back

-98

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What does the term 'domain' refer to in a function?

Back

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