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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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y = \frac{x+3}{8}

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Step-by-step explanation:

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It takes 300 newtons of force and a distance of 20 meters for a moving car to come to stop. How much work is a one n the cart?
IceJOKER [234]
Work done on cart
:

W
=
6000

J
Kinetic energy of cart
:

E
K
=
6000

J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300

N

⋅
20

m
⇒
W
=
300

kg

⋅

m s
−
2

⋅
20

m
⇒
W
=
300
⋅
20

kg

⋅

m
2

s
−
2
⇒
W
=
6000

kg

⋅

m
2

s
−
2
∴
W
=
6000

J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000
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3 years ago
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