Evaluating Functions & Graphs

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

What is the notation for a function?

Back

The notation for a function is typically f(x), where 'f' is the name of the function and 'x' is the input variable.

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

How do you find f(8) if f(x) = 2x - 10?

Back

Substituting 8 into the function: f(8) = 2(8) - 10 = 16 - 10 = 6.

Front

What is the value of f(6) if f(x) = 3x?

Back

Substituting 6 into the function: f(6) = 3(6) = 18.

Front

If f(x) = x^2 - 4, what is f(2)?

Back

Substituting 2 into the function: f(2) = (2)^2 - 4 = 4 - 4 = 0.

Front

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

Back

Substituting -2 into the function: f(-2) = (-2)^2 - 4 = 4 - 4 = 0.

Front

What does it mean for a function to be linear?

Back

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