Identifying Exponential Functions

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

Tags

CCSS.HSF.LE.A.1

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay

Tags

CCSS.HSF-IF.C.7E

What type of pattern do exponential functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

Tags

CCSS.HSF-IF.C.8B

What type of pattern do linear functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

In an exponential function, what does the 'a' represent?

• Input

• Rate of change

• Y-intercept/Initial value

• Output

Tags

CCSS.HSF.LE.B.5

In an exponential function, what does the 'b' represent?

• Input

• Rate of change

• Y-intercept

• Output

Tags

CCSS.HSF-IF.C.8B

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Answer explanation

Follow order of operations. Exponents first.

f(1) indicates that x = 1

The exponent is x+1, so 1+1 = 2

The exponent is 2.

3²=3*3=9. Then multiply by 5.

Tags

CCSS.HSF-IF.C.8B

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Answer explanation

Follow order of operations. Exponents first.

f(2) indicates that x = 2

The exponent is 2x, so 2*2 = 4

The exponent is 4.

3⁴=3*3*3*3=81. Then multiply by 5.

Tags

CCSS.HSF-IF.C.8B