Applying and Analyzing Functions

If f(1)=100, f(x)=f(x-1)*(1/5), find the first 5 terms of this sequence.

• 100, 20, 4, 4/5, 4/25

• 100, 95, 90, 85, 80

• 100, 500, 2500, 12500, 62500

• 100, 105, 110, 115, 120

Find the recursive function that fits this table.

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Which formula defines the sequence ƒ(1) = 2, ƒ(2) = 6, ƒ(3) = 10, ƒ(4) = 14, ƒ(5) = 18?

• f(1) = 2, f(n) = 6 + f(n-1) for n ≥ 2

• f(1) = 2, f(n) = 4 + f(n-1) for n ≥ 2

• f(1) = 2, f(n) = 2 + f(n − 1) for n ≥ 2

• f(1) = 6, f(n) = 4 + f(n − 1) for n ≥ 2

Write the recursive function for the given quadratic table.

• f(1)=0, f(x)=f(x-1)+4x+1

• f(1)=0, f(x)=f(x-1)+4x

• f(1)=0, f(x)=f(x-1)+4x+5

• f(1)=0, f(x)=f(x-1)+4x+10

• 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

• A

• B

• C

• D

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

• a
• b
• c
• d

Arrange the qualitative description of the function.

I. The function increases at a constant rate.

II. The function increases at a varying rate.

III. The function decrease at a constant rate.

IV. The function decrease at a varying rate.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV