Functions and Applications of Functions

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

• 
• 
• 
• 

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 1 second

• 2 seconds

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50

• A

• B

• C

• 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

Choose all of the information that is true about the graph shown above.

• The graph is increasing between the interval of ( −∞, −2.55) , (0, 2.55)

• The graph is decreasing between the interval of ( −∞, −2.55) , (0, 2.55)

• The roots of the function are at -3,-2, 2, 3

• The function is an even function

• The function is an odd function

Arrange the qualitative description of the function.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV

• A
• B
• C
• D

What is the correct description of this graph?

• It's a function and its linear.

• It's not a function, however it's linear.

• It's a function and it's non-linear.

• The graph has a constant rate of change and a y-intercept at 40.