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(2) represent in a function?

Back

f(2) represents the output of the function when the input is 2.

Front

Evaluate f(x) = x^2 at x = -8. What is f(-8)?

Back

f(-8) = 64.

Front

What is the formula for a quadratic function?

Back

The formula for a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

Evaluate f(x) = x^2 - 5x at x = 4. What is f(4)?

Back

f(4) = -4.

Front

If f(x) = 2x^2 + 5x - 3, what is f(-1)?

Back

f(-1) = -6.

Front

What is the significance of negative signs in function evaluation?

Back

Negative signs can change the value of the output significantly; always pay attention to them when substituting values.

Front

How do you find the x-value when f(x) = -2?

Back

You need to solve the equation f(x) = -2 for x.

Front

What is the output of f(x) = 3x + 1 when x = 0?

Back

f(0) = 1.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at a certain input if there is no corresponding output for that input.