Evaluating Functions

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

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

Back

f(4) = 2(4) + 2 = 10.

Front

What is the value of f(0) for the function f(x) = 2x + 2?

Back

f(0) = 2(0) + 2 = 2.

Front

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

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What is the range of the function f(x) = -rac{1}{2}x^2 + 6?

Back

The range is y ≤ 6.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is the slope of the function f(x) = 3x + 1?

Back

The slope is 3.

Front

What is the y-intercept of the function f(x) = -2x + 4?

Back

The y-intercept is 4.

Front

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

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

What is the definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.