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 for a given input by substituting the input into the function's equation.

Front

If f(x) = 2x + 1, what is f(0)?

Back

f(0) = 1.

Front

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

Back

f(-3) = 9.

Front

What is the value of g(5) if g(x) = x - 1?

Back

g(5) = 4.

Front

If f(x) = 3x - 5, what is f(1)?

Back

f(1) = -2.

Front

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

Back

f(2) = 4.

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

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has the form f(x) = mx + b.