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 for a given input by substituting the input into the function's formula.

Front

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

Back

64

Front

Evaluate f(x) = 2x + 2 for x = 4.

Back

10

Front

Evaluate f(x) = x^2 - 5x for f(4).

Back

-4

Front

Evaluate f(x) = 3x^2 - 11 for f(-5).

Back

64

Front

Evaluate f(t) = -2t^2 + 1 for f(-3).

Back

-17

Front

What is the output of a function when the input is zero?

Back

The output of a function when the input is zero is found by substituting 0 into the function's formula.

Front

What is the general form of a quadratic function?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.