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

Evaluating a function means finding 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 g(5) if g(x) = x - 1?

Back

g(5) = 5 - 1 = 4.

Front

How do you find f(0) for the function f(x) = 4x - 2?

Back

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

Front

What is the output of f(x) = 3x + 1 when x = 4?

Back

f(4) = 3(4) + 1 = 13.

Front

What is the value of r(-2) if r(x) = 2x - 2?

Back

r(-2) = 2(-2) - 2 = -6.

Front

What does it mean if a function is undefined at a certain point?

Back

A function is undefined at a certain point if there is no output value for that input, often due to division by zero or other restrictions.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 21.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, which determines the corresponding output value.