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Exponents Questions - All Grades

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Grade 11 Exponents CCSS: HSF-LE.A.2
Given the points (0, 8) and (2, 128), which of the following exponential functions could be created with them? The numerical values in the function have been rounded.
  1. f(x)=2•6x
  2. f(x)=16•4x
  3. f(x)=10•3.5x
  4. None of the above
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=a•bx that passes through the points (-1, 20) and (2, 2.5). The numerical values have been rounded in the following answers.
  1. f(x)=20•2x
  2. f(x)=25•1.5x
  3. f(x)=10•0.5x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
A population of fruit flies doubles every week. If there are 50 flies initially, which function gives the population, P(w), after w weeks?
  1. P(w)=2(50)w
  2. P(w)=2+50w
  3. P(w)=50w2
  4. P(w)=50(2)w
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=a•bx that passes through the points (0, 8) and (2, 128). The numerical values have been rounded in the following answers.
  1. f(x)=8•0.25x
  2. f(x)=10•3.58x
  3. f(x)=8•4x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=a•bx that passes through the points (1, 12) and (3, 108). The numerical values have been rounded in the following answers.
  1. f(x)=4•3x
  2. f(x)=10.39•1.54x
  3. f(x)=12•0.33x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
Which exponential function passes through the points (1, 12) and (4, 96)?
  1. f(x)=6(2)x
  2. f(x)=3(4)x
  3. f(x)=12(2)x
  4. f(x)=24(12)x
Grade 11 Exponents CCSS: HSF-LE.A.2
Given the points (1, 18) and (3, 162), which of the following exponential functions could be created with them? The numerical values in the function have been rounded.
  1. f(x)=12•1.5x
  2. f(x)=6•3x
  3. f(x)=9•2x
  4. All of the above
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function that passes through (-2, 64) and (1, 8).
  1. f(x)=32•2x
  2. f(x)=16•0.5x
  3. f(x)=64•0.5x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=a•bx that passes through the points (1, 9) and (4, 72). The numerical values have been rounded in the following answers.
  1. f(x)=4.5•2x
  2. f(x)=9•8x
  3. f(x)=6.24•1.65x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function from the table of values:
  1. f(x)=10(3)x
  2. f(x)=30(3)x
  3. f(x)=10(9)x
  4. f(x)=30(13)x
Grade 11 Exponents CCSS: HSF-LE.A.2
Given the points (2, 24) and (5, 192), which of the following exponential functions could be created with them? The numerical values in the function have been rounded.
  1. f(x)=12•1.41x
  2. f(x)=6•2x
  3. f(x)=8•1.5x
  4. All of the above
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function of the form f(x)=a•bx that passes through the points (0, 0.5) and (3, 4). The numerical values have been rounded in the following answers.
  1. f(x)=0.5•8x
  2. f(x)=4•0.5x
  3. f(x)=0.5•2x
  4. At least three points are needed
Grade 11 Exponents CCSS: HSF-LE.A.2
Given the points (0, 5) and (3, 40), which of the following exponential functions could be created with them? The numerical values in the function have been rounded.
  1. f(x)=5•2x
  2. f(x)=4.2•2.08x
  3. f(x)=5•1.5x
  4. All of the above
Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function from the points (0, 2) and (2, 18).
  1. f(x)=2(3)x
  2. f(x)=3(2)x
  3. f(x)=2(9)x
  4. f(x)=18(13)x
Grade 11 Exponents CCSS: HSF-LE.A.3
A student is comparing two methods for earning points in an app. Method 1: P1(t)=10t+20. Method 2: P2(t)=2(2.2)t, where t is time spent. Which option below best describes what will happen?
  1. Method 2 will always yield more points.
  2. Method 2 will yield more points at first, but Method 1 will yield more in the end.
  3. Method 1 will yield more points at first, but Method 2 will yield more in the end.
  4. Method 1 will always yield more points.
Grade 11 Exponents CCSS: HSF-LE.A.3
A population of insects grows according to a linear model, and a population of bacteria grows according to an exponential model. Initially, the insect population is larger. What can be expected eventually?
  1. The insect population will always be larger
  2. The bacteria population will never catch up
  3. The populations will become equal and stay equal
  4. The bacteria population will eventually become larger
Grade 11 Exponents CCSS: HSF-LE.A.3
The energy produced by two sources is modeled.
Source 1: E1(t)=10t+100 (MW)
Source 2: E2(t)=3t (MW). What is expected?
  1. Source 2 will always produce more energy.
  2. Source 1 will always produce more energy.
  3. Source 2 produces more initially, but Source 1 catches up.
  4. Source 1 produces more initially, but Source 2 produces more later.
Grade 11 Exponents CCSS: HSF-LE.A.3
A computer scientist is analyzing two algorithms.
Algorithm A: Tα(n)=100n+500 (ms)
Algorithm B: Tβ(n)=2n(ms)
For very large n, what is expected?
  1. Algorithm A will always run faster.
  2. Algorithm B will always run faster.
  3. Algorithm B will run faster for small n, but Algorithm A will be faster for large n.
  4. Algorithm A will run faster for small n, but Algorithm B will be faster for large n.
Grade 11 Exponents CCSS: HSF-LE.A.3
The area covered by a spreading ink spill is I(t) = 10t + 5 (cm²). The area covered by a growing crystal is C(t)=0.1•(3)t (cm²). Will the ink always cover a larger area?
  1. No, the crystal will eventually cover a larger area.
  2. Yes
  3. They will always cover the same area.
  4. It depends on the time t.
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