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Bezzdna [24]
2 years 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]2 years 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

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natima [27]
Let me help you with this :)

John = x 
Mike = y

x = 4 + 3y (4 more than 3 times)

x + y = 20 (we put the x above into this equation)

4 + 3y + y = 20 
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y = 4 (the answer is 4)

we use this for the equation:

x = 4 +3*4
x = 16

John is 16 years old and Mike is 4 years old :)

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Whiskers the cat weighs 2 2/3 kg. Piglo weighs 4kg. For each question , write a myipulcation and a division equation, decide whe
Liula [17]

Answer:

1) x= 3/2=  1 1/2

2) x=  2/3

Step-by-step explanation:

1)How many times as heavy as  Whiskers is  Piglio?

a) Write a multiplication equation for the question.

2 2/3 kg  * [x]= 4kg

b) Write a division equation for the question.

4/ 2 (2/3) = x

c) Is the answer greater than 1 or less than 1?

Ans) Greater than 1                      

d) Find the answer

4/ 8/3= x

x= 3/2= 1 1/2

Pigilo is 1 1/2 times as heavy as whiskers

2)How many times as heavy as Piglio is Whiskers?

a) Write a multiplication equation for the question.

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b) Write a division equation for the question.

2 (2/3)/4  = x

c) Is the answer greater than 1 or less than 1?

Ans) Less than 1                      

d) Find the answer

 8/3/4= x

  8/3 * 1/4= x

   2/3= x

Whiskers is 2/3 times as heavy as Pigilo.

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