Exponential Functions Notation Growth Decay

Twenty years ago, Mr. Revell bought his house for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Tags

CCSS.HSF-LE.A.1C

Pick the equation that is exponential growth

• y=2(0.5)^x

• y = 0.5(2)^x

• y = .5x - 2

• y = 2x + .5 

Tags

CCSS.HSF-LE.A.1A

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

Tags

CCSS.HSF.LE.A.2

Jackson bought a brand new Ford F-150 for $45,000.  Unfortunately, the value of the truck depreciates (decreases) at a rate of 1.3% per month.  Which equation shows the value of the truck?

• 45,000(1.3)^x

• 45,000(1.013)^x

• 45,000(.987)^x

• 45,000(.013)^x

Tags

CCSS.HSF.LE.A.2

What is the simplified version of

• 3.9 x 10⁶

• 4 x 10²⁰

• 4 x 10⁶

• 3.9 x 10²⁰

Tags

CCSS.8.EE.A.4

Which of the following best represents the graph?

• y=2^x

• x=2^y

• y=x²

• y=2^-x

Tags

CCSS.HSF.LE.A.2

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

•  Domain: −∞<x<∞ Range: y>0

• Domain: −∞<x<∞ Range: y>1

• Domain: −2<x<∞ Range: y>0

• Domain: −∞<x<∞ Range: y<0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Graph the function f(x) = 5^x and write the domain and range in interval notation.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Evaluate the function at the given value of x. Round to 4 decimal places if necessary.

f(x) = e^x; f(–2)

• 0.6931

• –5.4366

• 0.1353

• 6.5809

Tags

CCSS.HSF.IF.A.2

After taking a certain antibiotic, the amount of amoxicillin A(t), in milligrams, remaining in the patient's system t hr after taking 1000 mg of amoxicillin is A(t) = 1000e^–0.49t. How much amoxicillin is in the patient's system 3 hours after taking the medication? Round to the nearest tenth of a mg.

• 361.0 mg

• 689.8 mg

• 33.9 mg

• 229.9 mg