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

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

Back

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

Front

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

Back

f(-3) = -3 - 2 = -5.

Front

How do you find f(0) for the function f(x) = 4x + 5?

Back

f(0) = 4(0) + 5 = 5.

Front

What is the output of g(x) = x^2 when x = 5?

Back

g(5) = 5^2 = 25.

Front

What is the value of f(4) if f(x) = 4x + 5?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

It means that there is no output value for that input, often due to division by zero or other restrictions.