#3.3 Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

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. For example, if f(x) = 2x + 3, to find f(4), substitute 4 for x: f(4) = 2(4) + 3 = 11.

Front

What does f(x) = 5 mean?

Back

f(x) = 5 means that for every input x, the output of the function f is always 5, regardless of the value of x.

Front

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

Back

f(3) = 3^2 = 9.

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 the output of a function given its rule?

Back

To find the output, apply the rule of the function to the input value. For example, if f(x) = 3x - 1 and x = 2, then f(2) = 3(2) - 1 = 5.

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph. Its general form is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a function represent?

Back

The slope of a function represents the rate of change of the function. It indicates how much the output value changes for a unit change in the input value.

Front

What is a function's y-intercept?

Back

The y-intercept of a function is the point where the graph of the function crosses the y-axis. It occurs when x = 0.