Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input is substituted into the function.

Front

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

Back

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

Front

What is the formula for a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = -4x - 10 for f(-3).

Back

f(-3) = -4(-3) - 10 = 12 - 10 = 2.

Front

What is the slope of the function f(x) = 3x + 5?

Back

The slope (m) is 3.

Front

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

Back

Set the function equal to c and solve for x.

Front

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

Back

f(2) = 2^2 - 4 = 4 - 4 = 0.

Front

What is the y-intercept of the function f(x) = 5x - 2?

Back

The y-intercept is -2, which is the value of f(0).

Front

Evaluate f(x) = x^2 - 9x + 2 for f(-2).

Back

f(-2) = (-2)^2 - 9(-2) + 2 = 4 + 18 + 2 = 24.