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

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.

Front

What does f(x) = x^2 - 8 represent?

Back

This is a quadratic function where the output is the square of the input minus 8.

Front

Evaluate f(2) for f(x) = x^2 - 8.

Back

f(2) = 2^2 - 8 = 4 - 8 = -4.

Front

Evaluate f(3) for f(x) = x^2 - 8.

Back

f(3) = 3^2 - 8 = 9 - 8 = 1.

Front

What is the result of f(2) - f(3) for f(x) = x^2 - 8?

Back

f(2) - f(3) = -4 - 1 = -5.

Front

What is the value of f(-2) for f(x) = (10 - x)^2?

Back

f(-2) = (10 - (-2))^2 = (10 + 2)^2 = 12^2 = 144.

Front

How do you find f(-9) for f(x) = (1/2)(x + 5) - 3?

Back

f(-9) = (1/2)(-9 + 5) - 3 = (1/2)(-4) - 3 = -2 - 3 = -5.

Front

For what value of x does f(x) = -2 if f(x) = (1/2)(x + 5) - 3?

Back

Set (1/2)(x + 5) - 3 = -2, solve for x: x = -5.

Front

Evaluate f(-1) for f(x) = 6x^2 - 4.

Back

f(-1) = 6(-1)^2 - 4 = 6(1) - 4 = 6 - 4 = 2.