Geometric Function Graphs

Is this the graph of an arithmetic or a geometric sequence?

• Arithmetic

• Geometric

Tags

CCSS.HSF-IF.C.7E

Fill in the blank: Geometric sequences are graphed as _____________ functions.

• Linear

• Exponential

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Choose the best equation for the line.

Which of the following statements are true? Select ALL that apply!

• The range for both graphs is [0, infinity)

• The initial value for both graphs is approximately 9 Million.

• The domain for both graphs is [0, infinity)

• The domain for both graphs is [9, infinity)

• The range for both graphs is [9, infinity)

Tags

CCSS.HSF-IF.C.7E

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

• f(h) = 3(6)^h

• f(h) = 6(1.3)^h

• f(h) = 6(3)^h

• f(h) = 6(1.03)^h

Tags

CCSS.HSF.LE.A.2

Describe the end behavior of the graph.

• x →∞, y→∞ and x→∞, y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→0 and x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7E

• 2

• -2

• 1

• -1

Tags

CCSS.HSF-IF.C.7E

Compare the rates of change.

• The rate of change of item I is greater than the rate of change of item II.

• The rate of change of item I is equal to the rate of change of item II.

• The rate of change of item II is greater than the rate of change of item I.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function represents the sequence?

• f(n) = 3(2)ⁿ

• f(n) = 2(3)ⁿ

• f(n) = 6(3)ⁿ

• f(n) = 3(6)ⁿ

Answer explanation

Final answer will look like:

f(n) = a₀(b)ⁿ

----- ----- ----- -----

Step 1: Find "b"

Divide a_n values backwards

I will pick last two numbers

b = 486 / 162 = 3

----- ----- ----- -----

Step 2: Find "a₀"

Work backwards to find f(0)

f(0) = f(1) / (d)

f(0) = (6) / (3) = 2

----- ----- ----- -----

f(n) = 2(3)ⁿ

Tags

CCSS.HSF.LE.A.2