The Algebra of Functions

Is the shaded area Increasing, Decreasing, or Constant?

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

evaluate f(2)

• f(2) = 29

• f(2) = 11

• f(2) = 14

• f(2) = 56

if f(1) = 5 and g(1) = 3,

Evaluate f(1) + g(1)

• 2

• 8

• 10

• 15

Evaluate f(x) + g(x)

• 5

• 6

• 5x

• 6x

Over what interval is this function constant?

• from x = −6 to x = 5

• from x = −3 to x = 4

• from x = -6 to x = -5

• y = -5

2x + 3x

• 5x

• 6x

• cannot be simplified

• 5 + x

2x² + 3x² + 5x

• 10x

• 10x²

• 5x² + 5x

• 10x³

Is the following relation a function: (2, 3) (4, 5) (5, 3)

• yes because one output for each input

• no because 3 appears twice as an output

• not enough information

• it depends

Is the following relation a function: (2, 3) (2, 4) (5, 10)

• yes because one input for each output

• no because 2 appears twice as an input with different outputs

• not enough information

• it depends

What does the f in "f(x)" usually stand for?

• function

• fraction

• factor

• ****