Evaluating Functions (Equations & Graphs)

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 calculate the output of the function for a specific input value.

Front

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

Back

f(1) = 5.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you find the value of f(x) for a quadratic function?

Back

Substitute the value of x into the function and perform the arithmetic operations.

Front

If f(x) = x² - 4, what is f(2)?

Back

f(2) = 0.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

If f(x) = 3x - 5, what is f(0)?

Back

f(0) = -5.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If f(x) = 4x + 7, what is f(3)?

Back

f(3) = 19.