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
Leviafan [203]
1 year ago
10

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:
Scrat [10]1 year ago
7 0

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

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

f'(x) > 0

So we can say that f(x) is an increasing function.

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

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

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

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

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

You might be interested in
Help ASAP PLZZZZ now
AfilCa [17]
The answer would be D, I think
7 0
3 years ago
Read 2 more answers
. The ratio of a circumference to diameter is​
Goryan [66]

One of the most fundamental truths of (Euclidean) geometry is that the ratio of the circumference to the diameter of any circle is a constant, and that constant is called pi (denoted by π π). Let C be the (length of the) circumference of a circle, and let d be its diameter. Then, we must have: C d = π C d = π

5 0
3 years ago
Point R is located at  (3,2) and point S is located at (8,15) . What are the coordinates of the point that partitions the direct
faltersainse [42]
The coordinates of the point can be solve using the fomula:

x = x1 + r( x2 - x1 )
y = y1 + r( y2 - x1)
where r is the ratio that partitions the segment
x = x1 + r( x2 - x1 )
x = 3 + 1/3( 8 - 3 )
x = 3 + 1/3( 5 )
x = 14/3
y = y1 + r( y2 - x1)
y = 2 + 1/3( 15 - 2)
y = 2 + 1/3( 13 )
y = 19/3
so the coordinate is ( 14/3 , 19/3 )
8 0
3 years ago
To the nearest cent what is $89.95 DVD player 5% discount
KiRa [710]
89.95 x 0.05 (5%)
=4.4975

The final cost of the DVD player is 89.95-4.4975
=85.4525
≈ $85.45
8 0
3 years ago
What number is 100 times as great as 0.3
Nataly [62]
30 because 0.3 * 100 = 30
8 0
3 years ago
Other questions:
  • 8 people are about to board a plane. In how many ways can this be done?
    7·2 answers
  • Gina has a traditional health insurance plan. Her deductible is $500. The level of co-insurance for her plan is 80/20, where 20
    8·2 answers
  • A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer
    14·1 answer
  • Evaluate −6 − (−3). (1 point)
    6·1 answer
  • What is 2 3/4 minus 3 2/4? please help!!!!!
    9·2 answers
  • Please help me with this one guys
    13·1 answer
  • Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).​
    12·1 answer
  • Please help! Final problem for tonight
    13·2 answers
  • Read the passage below.
    11·1 answer
  • lupita bought 5 pounds of pretzels at a wholesale store for $12.75 how much would it cost lupita to buy 7 pounds of pretzels.​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!