Evaluate Exponential Functions

Authored by Mallika Nandur

Mathematics

11th - 12th Grade

CCSS covered

Used 31+ times

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12 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

135

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=333=27. Then multiply by 5.

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

Follow order of operations. Exponents first.
f(2) indicates that x = 2
The exponent is 2x, so 22 = 4
The exponent is 4.
3⁴=3333=81. Then multiply by 5.

Tags

CCSS.HSF-IF.C.8B

OPEN ENDED QUESTION

3 mins • Ungraded

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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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

125

15625

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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Evaluate Exponential Functions

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=333=27. Then multiply by 5.

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.

Follow order of operations. Exponents first.
f(2) indicates that x = 2
The exponent is 2x, so 22 = 4
The exponent is 4.
3⁴=3333=81. Then multiply by 5.

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.

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

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.

Follow order of operations. Exponents first.
g(4) indicates that x = 4
The exponent is 4.
Apply the exponent to both numerator and denominator.

x=28. So, the exponent is 28/7 = 4. The exponent is 4.
2⁴=2^4 = 16. Multiply by 8000.

x=80. So, the exponent is 80/20 = 4. The exponent is 4.
3⁴=3^4 = 81. Multiply by 800.

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?

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.

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Evaluate Exponential Functions

Follow order of operations. Exponents first.f(2) indicates that x = 2The exponent is x+1, so 2+1 = 3The exponent is 3.33=3*3*3=27. Then multiply by 5.

Follow order of operations. Exponents first.f(1) indicates that x = 1The exponent is x+1, so 1+1 = 2The exponent is 2.32=3*3=9. Then multiply by 5.

Follow order of operations. Exponents first.f(2) indicates that x = 2The exponent is 2x, so 2*2 = 4The exponent is 4.34=3*3*3*3=81. Then multiply by 5.

Follow order of operations. Exponents first.f(3) indicates that x = 3The exponent is 2x, so 2*3 = 6The exponent is 6.36=3^6=729. Then multiply by 5.

Follow order of operations. Exponents first.f(2) indicates that x = 2The exponent is 3x, so 3*2 = 6The exponent is 6.56 or 5^6

Follow order of operations. Exponents first.h(-3) indicates that t = -3The 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.

Follow order of operations. Exponents first.g(4) indicates that x = 4The exponent is 4.Apply the exponent to both numerator and denominator.

x=28. So, the exponent is 28/7 = 4. The exponent is 4.24 = 2^4 = 16. Multiply by 8000.

x=80. So, the exponent is 80/20 = 4. The exponent is 4.34 = 3^4 = 81. Multiply by 800.

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?

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.

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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=333=27. Then multiply by 5.

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.

Follow order of operations. Exponents first.
f(2) indicates that x = 2
The exponent is 2x, so 22 = 4
The exponent is 4.
3⁴=3333=81. Then multiply by 5.

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.

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

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.

Follow order of operations. Exponents first.
g(4) indicates that x = 4
The exponent is 4.
Apply the exponent to both numerator and denominator.

x=28. So, the exponent is 28/7 = 4. The exponent is 4.
2⁴=2^4 = 16. Multiply by 8000.

x=80. So, the exponent is 80/20 = 4. The exponent is 4.
3⁴=3^4 = 81. Multiply by 800.

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?

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.