Algebra 2 - Function Notation

Front

What is function notation?

Back

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

Front

Evaluate f(6) if f(x) = x² - 3x + 7.

Back

f(6) = 6² - 3(6) + 7 = 36 - 18 + 7 = 25.

Front

What does it mean for a function to have a value at a specific input?

Back

It means that when you substitute the input into the function's equation, you get a corresponding output value.

Front

Evaluate f(1) if f(x) = 2x + 8.

Back

f(1) = 2(1) + 8 = 2 + 8 = 10.

Front

How do you find the x-value when given f(x) = a?

Back

Set the function equal to 'a' and solve for 'x'.

Front

Find the value of x for f(x) = -6, given f(x) = 3x + 9.

Back

3x + 9 = -6; 3x = -15; x = -5.

Front

What is the significance of the point (a, b) on the graph of a function?

Back

It indicates that when the input is 'a', the output is 'b'.

Front

Between what two consecutive integers does the largest solution to f(x) = 1 lie for f(x) = x² - 5x + 6?

Back

The largest solution is between 3 and 4.

Front

If k(-5) = 18, what point lies on the graph of k(x)?

Back

The point (-5, 18) lies on the graph.

Front

What is the domain of a function?

Back

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