4.1-4.2 Function Notation Review

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using 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 point, such as f(2)?

Back

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

Front

What does f(x) = 2x - 3 represent?

Back

This represents a linear function where the output (f(x)) is determined by multiplying the input (x) by 2 and then subtracting 3.

Front

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

Back

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

Front

What does it mean to find f(2)?

Back

Finding f(2) means substituting x with 2 in the function's equation.

Front

If h(x) = 19, what is the value of x?

Back

To find x, set the function equal to 19 and solve for x.

Front

What is the difference between x and f(x)?

Back

x is the input value, while f(x) is the output value of the function corresponding to that input.

Front

How can you express the equation y = 2x - 3 in function notation?

Back

In function notation, it is expressed as f(x) = 2x - 3.

Front

What is the output of f(2) if f(x) = 3x?

Back

f(2) = 3(2) = 6.

Front

What does it mean if a function is undefined at a certain point?

Back

It means that there is no valid output for that input value in the function.