Which of the following represents the graph of f(x) = 2x + 2? i will give a medal if you help cooperatively

1 answer:

8 0

Our function is:
f(x) = 2^x + 2

To find which graph represents this function we should find at least 2 points. We take some value of x we want and calculate y for it. And do that at least 2 times (can be done 1 time but its likely that some graph match in some points)

for x = 0 we get
f(x) = 3

for x = 1
f(x) = 4

we can also note that f(x) cannot be less than 2 because 2^x is always greater than 0, and that as x increments f(x) increments. With all of this in mind answer is last graph.

Answer is graph D

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abruzzese [7]

You are given that that m∠1 = 106° and m∠2 = 50° and PQ║JK

Since PQ and JK are parallel, then because of the alternate interior angles theorem, ∠5 = ∠2, so ∠5 = 50° as well.

∠1 and ∠8 are corresponding angles so therefore they are equivalent and ∠8 = 106°.

∠4 and ∠8 are corresponding so they are equivalent as well and ∠4 = 106°.

∠3 is alternate interior angles with ∠5 which we already found, so they are equivalent and ∠3 = 50°

∠7 and ∠8 are vertical angles so ∠7 = ∠8. We already found ∠8, it is 106°. Therefore ∠7 = 106°.

In summary,
∠4 = 106° because of corresponding angles with ∠8
∠3 = 50° because of alternate interior angles with ∠5
∠5 = 50° because of alternate interior angles with ∠3
∠8 = 106° because of corresponding angles with ∠1
∠7 = 106° because of vertical angles with ∠8

Hope this helps! ^-^

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