Analyzing Functions from Graphs

What is happening at D?

• Stationary

• Accelerating

• Fast steady speed; moving away from the starting position

• Slower steady speed; moving away from the starting position

At what time did runner A pass runner B?

• 0 seconds

• 1 second

• 2 seconds

• 3 seconds

For 1-6 Match the verbal description with the part of the graph it describes.
1. Stays the same.

• F

• A

• D

• C

Slowly increases at a CONSTANT rate.

• A

• B

• E

• D

What is true of this graph?

• It is Exponential

  It is increasing

  y-intercept is (0,2)

  No x-intercepts

• It is Exponential

  It is decreasing

  No y-intercepts

  x-intercepts (-3,0)

• It is Quadratic

  Both increasing & decreasing

  y-intercept (0,2)

  x-intercept (-3,0)

• It is Quadratic

  It is increasing

  y-intercept (2,0)

  No x-intercepts

Akiko is painting a room in her house. The graph shows the area Akiko has painted as a function of time. Which description is correct?

• For the first 2 hours, Akiko paints very quickly at first, but then slows down

• For 2 < x < 3, Akiko paints at a constant rate

• For 3 < x < 4, Akiko continues painting at a varying rate

• For the last 2 hours, Akiko paints at a constant rate, but much more slowly than earlier in the day

• A
• B
• C
• D

• A

• B

• C

• D

Which statement is true about this graph?

• This function is always constant

• This function is always increasing

• This function is never increasing

• This function is both increasing and decreasing

Arrange the qualitative description of the function.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV