Evaluating and Solving 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

How do you evaluate a function at a specific point?

Back

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

Front

Evaluate f(x) = -3(x-1) at x = 0.

Back

f(0) = -3(0-1) = 3.

Front

Evaluate f(x) = 2x² + 5x - 3 at x = 1.

Back

f(1) = 2(1)² + 5(1) - 3 = 4.

Front

Evaluate f(x) = -5x - 15 at x = 4.

Back

f(4) = -5(4) - 15 = -35.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at a point if substituting that point into the function's equation does not yield a valid output.

Front

Evaluate f(x) = 2 at x = 1.

Back

f(1) = 2.

Front

Evaluate f(x) = -2 at x = 8.

Back

f(8) = -2.

Front

What is the output of a function?

Back

The output of a function is the value that results from substituting an input into the function's equation.

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.