Algebra 2A-1: Function Notation(2022)

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

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 in place of the variable. For example, if f(x) = x - 5, to find f(3), substitute 3 for x: f(3) = 3 - 5 = -2.

Front

What does f(x) = x - 5 represent?

Back

This represents a linear function where the output is 5 less than the input value x.

Front

If f(x) = 2x^2 + 5x - 17, what is the degree of the function?

Back

The degree of the function is 2, which is the highest power of x in the polynomial.

Front

What is the value of x when f(x) = 15 for f(x) = x - 5?

Back

x = 20.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

What is f(1) if f(x) = x - 5?

Back

f(1) = 1 - 5 = -4.

Front

What is the output of f(x) = 3(6 - x) when x = -8?

Back

f(-8) = 3(6 - (-8)) = 3(6 + 8) = 3(14) = 42.

Front

What does it mean if f(x) = -2?

Back

It means that the output of the function is -2 for a specific input value of x.

Front

How do you find f(-1) for f(x) = 2x^2 + 5x - 17?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = 2 - 5 - 17 = -20.