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VARVARA [1.3K]
3 years ago
5

#11 Please answer the question

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

134

Step-by-step explanation:

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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
Scrat [10]

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

7 0
2 years ago
Please help with this worksheet I don’t know any of it
sammy [17]

Answer:

4. 1/25

5. 1/16

6. 2/9

7. 5/567

8. 1/40

9. 2/175

10. 1/30

11. 2/5

12. 9/8

13. 4/3

14. 1

Step-by-step explanation:

sorry I only know how to do 4-14. I hope this helps you.

4 0
3 years ago
Evaluate and simplify the following complex fraction. 2/3÷4/-9 please help me​
mariarad [96]

Answer: -3/2

Step-by-step explanation:

2

3

4

−9

=

2

3

−4

9

=

−3

2

7 0
3 years ago
Read 2 more answers
How long did it take the 9000 N car to reach 100 km/hr?
Veronika [31]
100 seconds. The numbers on the left are seconds.
7 0
3 years ago
Make a number line and show all values of x such that... <br><br> x&lt;-1 or x&gt;1
oee [108]

Answer:

I am I supposed to make a number line.

Step-by-step explanation:

7 0
3 years ago
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