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ioda
3 years ago
12

Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x?

Mathematics
2 answers:
Bond [772]3 years ago
6 0

Answer:

Sample Response: Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.

Step-by-step explanation:

andreyandreev [35.5K]3 years ago
5 0

Answer:

the second one

Step-by-step explanation:

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Express the decimal 0.43 as a fraction in its simplest form.
maks197457 [2]

Answer:

Step-by-step explanation:

43/100 or  43%

3 0
3 years ago
What is the value of (-3+3i)+(-2+3i)?<br><br> -5-6i<br> -5+6i<br> 5+6i<br> 5-6i
Luda [366]

Step-by-step explanation:

-3+3i-2+3i

-5+6i

Hope that helps you

8 0
3 years ago
Find the local max and min values of f(x)=x^2/x-1 using both first and second derivative tests
uranmaximum [27]
Hmm, the 2nd derivitve is good for finding concavity

let's find the max and min points
that is where the first derivitive is equal to 0
remember the difference quotient

so
f'(x)=(x^2-2x)/(x^2-2x+1)
find where it equals 0
set numerator equal to 0
0=x^2-2x
0=x(x-2)
0=x
0=x-2
2=x

so at 0 and 2 are the min and max
find if the signs go from negative to positive (min) or from positive to negative (max) at those points

f'(-1)>0
f'(1.5)<0
f'(3)>0

so at x=0, the sign go from positive to negative (local maximum)
at x=2, the sign go from negative to positive (local minimum)


we can take the 2nd derivitive to see the inflection points
f''(x)=2/((x-1)^3)
where does it equal 0?
it doesn't
so no inflection point
but, we can test it at x=0 and x=2
at x=0, we get f''(0)<0 so it is concave down. that means that x=0 being a max makes sense
at x=2, we get f''(2)>0 so it is concave up. that means that x=2 being a max make sense




local max is at x=0 (the point (0,0))
local min is at x=2 (the point (2,4))
6 0
4 years ago
What is (-2,-9)(-1,-3)
Aleks04 [339]

Answer:

44

Step-by-step explanation:

((-2)-9)*((-1)-3)

5 0
3 years ago
A football team ran four plays. The first play lost 5 yards. The second play lost 9 yards. The third play gained 12 yards. The l
Flura [38]

Answer:

-10

Step-by-step explanation:

To find the the total gain or loss of yards, use an integer expression to write each play.

1st play = -5

2nd play = -9

3rd play = 12

4th play = -8

The expression is -5 + -9 + 12 + -8

                                -14 + 12 + -8

                                    -2 + -8

                                       -10

3 0
3 years ago
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