Features of Graphs of Functions

• Shifts the function up 2 units.

• Shifts the function down 2 units.

• Shifts the function left 2 units.

• Shifts the function right 2 units.

Answer explanation

The +2 in the function shifts the graph left 2 units, as it affects the x-value by moving it horizontally.

Determine the domain of the graph.

• (1, +∞)

• [1, +∞)

• (2, +∞)

• [2, +∞)

What is the maximum?

• None of the above

For what values of x is the f(x) increasing?

• 0 ≤ x ≤ 3

• 3 ≤ x ≤ 5

• 5 ≤ x ≤ 9

• None of the above =

For what values of x is the f(x) decreasing?

• 0 ≤ x ≤ 3

• 3 ≤ x ≤ 5

• 5 ≤ x ≤ 9

• None of the above

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

The graph models a linear function. The rate of change of the graph is ​ (a)   dollars per hour.

• 50

• 100

• 0

• 1/50

What is the RANGE of the function?

• All real numbers

Where is the function positive and where is it negative?

• positive: always positive
  negative: never negative

• positive: never positive
  negative: always negative

Describe the following graph.

• Increasing

• Decreasing

• Vertical

• Horizontal