Evaluate Exponential Functions

• 135

• 45

• 30

• 15

Answer explanation

Follow order of operations. Exponents first.

f(2) indicates that x = 2

The exponent is x+1, so 2+1 = 3

The exponent is 3.

3³=3*3*3=27. Then multiply by 5.

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

• 
• 
• 
• 

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

Answer explanation

Follow order of operations. Exponents first.

f(3) indicates that x = 3

The exponent is 2x, so 2*3 = 6

The exponent is 6.

3⁶=3^6=729. Then multiply by 5.

Tags

CCSS.HSF-IF.C.8B

• 125

• 15625

• 25

• 30

Answer explanation

Follow order of operations. Exponents first.

f(2) indicates that x = 2

The exponent is 3x, so 3*2 = 6

The exponent is 6.

5⁶ or 5^6

Tags

CCSS.HSF-IF.C.8B

• 192

Answer explanation

Follow order of operations. Exponents first.

h(-3) indicates that t = -3

The exponent is -3.

Remember, a negative exponent creates a fraction.

4^-3 or 1/64. Multiply by 3. Remember to multiply only to the numerator (top) of the fraction.

Tags

CCSS.HSF-IF.C.8B

• 256 

Answer explanation

Follow order of operations. Exponents first.

g(4) indicates that x = 4

The exponent is 4.

Apply the exponent to both numerator and denominator.

Tags

CCSS.HSF-IF.C.8B

• $128,000

• $1,024,000

• $112,000

• $2,147,483,648,000

Answer explanation

x=28. So, the exponent is 28/7 = 4. The exponent is 4.

2⁴ = 2^4 = 16. Multiply by 8000.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

• 2400

• 278942752100

• 64800

• 9600

Answer explanation

x=80. So, the exponent is 80/20 = 4. The exponent is 4.

3⁴ = 3^4 = 81. Multiply by 800.

Tags

CCSS.HSF.LE.A.2

 

A new car cost $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year . The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)^t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

• $22,554.45

• $19,678.32

• $23,907.72

• 45,678.91

Answer explanation

t is the number of years after 2010. So, t=2017-2010

=7. So, the exponent is 7.

1.06⁷ = 1.06^7 . Multiply by 15000.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5