Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by the input variable in parentheses, such as f(x).

Front

What does f(x) represent?

Back

f(x) represents the output of the function f for a given input x. It is equivalent to y in the equation y = f(x).

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify to find the output.

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

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0, since division by zero is undefined.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers y such that y ≥ 0, since a square of a real number is always non-negative.

Front

How do you find the range from a graph?

Back

To find the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is produced by exactly one input value, meaning no two different inputs map to the same output.