Exploring Function Operations: Adding and Subtracting Rational Expressions

What does the 'f' represent in the function notation f(x)?

• The equation of the function

• The output of the function

• The name of the function

• The independent variable

In the function notation f(x) = 8x + 15, what is 8x + 15 referred to as?

• The independent variable

• The output

• The function name

• The input

How do you find the sum of two functions f(x) and g(x)?

• Subtract g(x) from f(x)

• Add f(x) and g(x)

• Divide f(x) by g(x)

• Multiply f(x) and g(x)

What does the open circle symbol (∘) represent in function operations?

• Composition of functions

• Subtraction of functions

• Addition of functions

• Multiplication of functions

If f(x) = -3x + 7, what is f(5)?

• -8

• -15

• 8

• 15

For the piecewise function g(x), if x is less than or equal to 2, which equation do you use?

• 2x + 1

• -2x

• -x + 2

• x + 1

When evaluating a function from a graph, what does an open circle indicate?

• The point is not included in the graph

• The point is included in the graph

• The function is undefined at that point

• The function has a maximum at that point

If the graph of f(x) shows a closed circle at x = 2, what does this mean?

• The point (2, f(2)) is not included in the graph

• The point (2, f(2)) is included in the graph

• The function has a minimum at x = 2

• The function is undefined at x = 2

Given f(x) = -2x + 5, what is the value of x when f(x) = 13?

• 4

• -4

• 9

• -9

If f(x) = 7, what is the x-value on the graph?

• x = -5

• x = 5

• x = -2

• x = 2