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 f(x) represent in a function?

Back

f(x) represents the output of the function f for the input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

What is the value of f(2) if f(x) = 2x + 3?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the value of f(-3) if f(x) = 2x + 3?

Back

f(-3) = 2(-3) + 3 = -3.

Front

What is the value of f(0) if f(x) = 2x + 3?

Back

f(0) = 2(0) + 3 = 3.

Front

What is the slope of the function f(x) = 2x + 3?

Back

The slope is 2, which indicates the function increases by 2 units for every 1 unit increase in x.

Front

What is the y-intercept of the function f(x) = 2x + 3?

Back

The y-intercept is 3, which is the value of f(0).

Front

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

Back

f(-1) = 2(-1) + 3 = 1.

Front

What is the domain of the function f(x) = 2x + 3?

Back

The domain is all real numbers, as there are no restrictions on x.