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 substituting a specific value for the variable in the function's expression to find the corresponding output.

Front

If f(x) = 2x + 3, what is f(5)?

Back

f(5) = 2(5) + 3 = 13.

Front

What is the value of f(-2) if f(x) = x^2 - 4?

Back

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

Front

How do you find f(x) when given f(x) = 3x + 1?

Back

Substitute the value of x into the equation. For example, f(2) = 3(2) + 1 = 7.

Front

What is the output of f(x) = x^2 for x = -3?

Back

f(-3) = (-3)^2 = 9.

Front

If f(x) = 4x - 7, what is f(0)?

Back

f(0) = 4(0) - 7 = -7.

Front

What is the value of f(10) if f(x) = 5x - 5?

Back

f(10) = 5(10) - 5 = 45.

Front

Given f(x) = x^2 + 2x + 1, find f(1).

Back

f(1) = 1^2 + 2(1) + 1 = 4.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.