9/23 Exponential Functions

• Decay

• Growth

What is the domain and range of the function y=2^x ? Use the graph to help!

•  Domain: All real #'s

  Range: y>0

•  Domain: All real #'s Range: y>1

•  Domain: All real #'s

  Range: y> -1

•  Domain: All real #'s

  Range: y>4

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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CCSS.HSF-IF.C.7E

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CCSS.HSF-IF.C.7E

Write an exponential function to model the situation. Then solve.

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $3149.72

• C(t) = 12000(.06)^t ; $1472.95

• C(t) = 12000(1.06)^t ; $15149.72

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CCSS.HSF.LE.A.2

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) = 6x^h

• f(h) = 6(3)^h

• f(h) = 3(6h)

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CCSS.HSF.LE.A.2

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.

Which statement is NOT true.

• Mr. Bittle loses 85% of his investment monthly

• Mr. Bittle initially invested $24,220

• Each month Mr. Bittle loses 15% of his investment

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CCSS.HSF.LE.B.5

Joe deposits $500 in an account with 3% interest compounded quarterly for a period of 5 years. What expression would you type into the calculator to calculate the total amount of money Joe will have after the 5 year period?

• 500(1+.03)⁴⁽⁵⁾

• 500(1+.03/4)⁽⁴⁾⁽⁵⁾

• 500(1+3)⁵

• 500e^(.03)(5)

Steve deposited

$5,000 in a savings account that pays 4% interest compounded annually. Which

equation could be used to find the value of the account after 3 years?

• A = 5,000(1 + 4)³

• A = 5,000(1 + 0.04)³

• A = 5,000(1 + 0.4) x 3

• A = 5,000(0.04)³