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

Front

What is the standard form of a quadratic function?

Back

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

Front

How do you evaluate f(x) = 2x + 3 for f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the value of h(5) for h(x) = -x² + 3x?

Back

h(5) = -5² + 3(5) = -25 + 15 = -10.

Front

What is the value of f(-3) for f(x) = 2x - 4?

Back

f(-3) = 2(-3) - 4 = -6 - 4 = -10.

Front

How do you find the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form f(x) = ax² + bx + c can be found using the formula x = -b/(2a).

Front

What is the value of h(-3) for h(x) = -x² + 3x?

Back

h(-3) = -(-3)² + 3(-3) = -9 - 9 = -18.

Front

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

Back

The slope-intercept form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = -2x + 13 for f(10).

Back

f(10) = -2(10) + 13 = -20 + 13 = -7.