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
Bezzdna [24]
1 year ago
11

Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati

on. Which statement correctly compares the two functions on the interval [-1, 2]? A. Both functions are increasing, but function f increases at a faster average rate. B. Only function f is increasing, but both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Only function f is increasing, and only function f is negative.

Mathematics
1 answer:
olchik [2.2K]1 year ago
7 0

Both functions are increasing, but function g increases at a faster average rate.

The correct option is (C)

<h3></h3><h3>What is an increasing function?</h3>

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

let f(x) = ab^{x} +c and x=0 , f(0)= -10

-10=a+c

Now,

f(x) = -33/5*(\frac{1}{11} )^{x} - 17/5

f '(x)>0

So, x is increasing function.

g(x) = -18/3*(\frac{1}{11} )^{x} +2

g'(x) =-18(\frac{1}{3} )^{x}ln(1/3)

ln 1/3<0

So, g'(x)>0

So, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x)

Since, g increases at a faster rate.

Hence, Both functions are increasing, but function g increases at a faster.

Learn more about increasing function here:

brainly.com/question/12940982

#SPJ1

You might be interested in
What is the name of the figure?
Serhud [2]

That is a Triangular Prism.

4 0
3 years ago
Read 2 more answers
If the population of a state was 4702644 how many representatives should that state have
WARRIOR [948]
There is not an exact way to answer that question. The number of representatives each state has is determined by the population. However, the total number of house representatives has been capped at 435 since 1913. Currently, the ratio of constituents to representatives is 700,000 to 1. So if you divide the total population by 700,000 you will have an approximation of the number of representatives.
8 0
3 years ago
Find an equation of the line that passes through the pair of points(1,-6) and (-4,9)
AlexFokin [52]

Answer:

The equation of the line that passes through the points

(1,-6) and (-4,9)


is


y=-3x-3


6 0
3 years ago
Answer this question please; number 5... show all work thank you
My name is Ann [436]

Answer:

rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour

Step-by-step explanation:

We will make a table of the trip there and back using the formula distance = rate x time

                 d              =            r       x       t

there

back

The distance there and back is 264 miles, so we can split that in half and put each half under d:

               d            =         r        x        t

there    132

back     132

It tells us that the trip there is with the wind and the trip back is against the wind:

           

              d           =        r         x        t

there     132        =    (r + w)

back      132       =     (r - w)

Finally, the trip there took 3 hours and the trip back took 6:

           

             d         =        r        *        t

there    132     =    (r + w)     *       3

back     132     =    (r - w)      *       6

There's the table.  Using the distance formula we have 2 equations that result from that info:

132 = 3(r + w)        and        132 = 6(r - w)

We are looking to solve for both r and w.  We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:

132 = 3r + 3w and

132 - 3w = 3r so

44 - w = r.  Subbing that into the second equation:

132 = 6(44 - w) - 6w and

132 = 264 - 6w - 6w and

-132 = -12w so

w = 11

Subbing w in to solve for r:

132 = 3r + 3(11) and

132 = 3r + 33 so

99 = 3r and

r = 33

7 0
2 years ago
F(x) = -8x+20; 5-2 [ f(-1)]​
ExtremeBDS [4]

Solve the equation.

m+34=m−6

Enter the correct answer in the box.

6 0
3 years ago
Other questions:
  • BRAINLIEST!!PLEASE HELP ME!!
    12·1 answer
  • The squid exhibit is located three units east of the Sharks how many units north of the giant octopus is the squid exhibit
    12·1 answer
  • What is the surface area of the equilateral triangular prism? A) 51 cm2 B) 56 cm2 C) 62 cm2 D) 67 cm2
    15·2 answers
  • For what value of x is 1/2 x = -9<br><br> x = 18<br> x= -4<br> x=-18<br> x= -36
    11·2 answers
  • The perimeter of a rectangle is equal to 4040. if the length is halved and the width is divided by 3, the new perimeter is decre
    8·1 answer
  • Which relation is a function?
    15·1 answer
  • If you're planning a trip to atlanta georgia which is 279 miles from home and you plan to drive at an average speed of 62 mph, a
    5·1 answer
  • Use your calculator to find the value of each trig function below. Round to the tenth place.
    10·1 answer
  • Given a standard form linear equation 33 - 4y = 12​
    8·2 answers
  • PLEASE HELP ASAP!!!!! please help me!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!