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fomenos
1 year ago
12

Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.

Mathematics
1 answer:
Elodia [21]1 year ago
5 0

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

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3 years ago
Julia is taking a test with multiple choice and true/false question the test has twentg question altogether . julia gets five po
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X=number of corect
y=number of incorrect
5 points for each correct so 5x
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I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
5x=76+y
subtract 76 from both sides
5x-75=y
y=5x-76

subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0

so solve for minimum
0<u><</u>5x-76
add 76 to both sides
76<u><</u>5x
divide by 5
15.2<u><</u>x
you cannot answer a fraction of a correct quesiton so round up
16 is the minumum number of queswtions correctlyh answered


so
x<u>></u>16

subsitute 16 for x
y=5(16)-76
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y=4

as we subsitute more numbers over 16, we get these points
so (x,y) 
(16,4)
(17,9)
(18,14)
(19,19)
(20,24)
(21,29)
(22,34)
(23,39)
x=correct answer
y=wrong answers
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3 years ago
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