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 find the output value when a specific input value is substituted into the function.

Front

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

Back

f(1) = 2(1) + 3 = 5.

Front

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

Back

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

Front

How do you find g(-5) if g(x) = 5 - 6x?

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What is the output of f(x) = x^2 when x = 4?

Back

f(4) = 4^2 = 16.

Front

What is 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.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

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

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m and b are constants.