1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
charle [14.2K]
3 years ago
5

Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

y=2^x\\\ln(y)=x \ln(2)

Implicitly differentiate the left side and take the derivative of the right side

\frac{y'}{y} =\ln(2)

Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

You might be interested in
WILL GIVE BRAINLIST FOR CORRECT ANSWER Which is the warmest temperature? Explain how you determined this using the number line.
Sav [38]

Answer:

B 5 F   it is the warmest

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A survey asked a group of students to choose their favorite type of music from the choices of rock, hip-hop, and country. The re
Art [367]

As there is no graph attached so you have to done it yourself, Steps provided below for making it easier.

  1. Observe the graph, whether it's a barchart/histogram/Piechart .
  2. Then find 270 in the graph.
  3. Check respective y co-ordinates .

Done!You found the answer

3 0
2 years ago
You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
natka813 [3]
I do not understand maybe 1 gallon? 
3 0
2 years ago
What’s the answer?!<br> I don’t get it because how are you supposed to know the measurements idk?
Setler79 [48]
Try using a theory ask your teacher if a ruler can be used
3 0
3 years ago
Compressed by a factor
kari74 [83]
I think your talking about quadratics, so

They didn’t specify which way the parabola was translated, right or left, up or down?

Since there wasn’t specification of direction, I will use positive (to the right) and up (upwards)

a = 1/2
h = +5
k = +5

y = a(x-h)^2+k
y = 1/2 (x - 5)^2 + 5

Now if your writing it in standard form (above was vertex form) you’d just expand it

y = 1/2 (x-5)(x-5) + 5
y = 1/2 [(x^2) -5x -5x ] + 25 + 5
y = 1/2 x^2 - 5x + 30
6 0
3 years ago
Other questions:
  • A culture of bacteria has an initial population of 22000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d
    13·1 answer
  • Need help antoine leaves his house walking at a speed of 15 meters per minute. his brother walks behind 30 minutes later at a sp
    12·1 answer
  • 1. Clare has a piece of paper that is 8 inches by 10 inches. How many pieces of paper
    10·2 answers
  • 25 decreased by 1/5 of a number is 18
    5·1 answer
  • A circle is shown. Secant R T and tangent U T intersect at point T outside of the circle to form an angle with a measure of 21 d
    7·2 answers
  • Two figures represent a translation
    7·1 answer
  • What do you notice about the graph when it passess through a root of even multiplicity?​
    14·1 answer
  • PLEASE HELP!!!!!!! WORTH 40 POINTS AND WILL MARK BRAINLIEST!!!!
    8·1 answer
  • What is the answer the file at the bottom
    7·2 answers
  • The diameter of a circle is 6 meters. What is the circle's circumference?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!