Function Notation Review

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does the domain of a function represent?

Back

The domain of a function represents all the possible input values (x-values) for which the function is defined.

Front

How do you find the domain of a function from a graph?

Back

To find the domain on a graph, look at the x-values covered by the graph from left to right.

Front

What is the range of a function?

Back

The range of a function represents all the possible output values (y-values) that the function can produce.

Front

What does f(4) mean in function notation?

Back

f(4) means to evaluate the function f at the input value of 4.

Front

If f(x) = 2x + 1, what is f(3)?

Back

f(3) = 2(3) + 1 = 7.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).