1) Consider the function f(x) = 3 +8/x^-2 a. Where is f(x) going to have discontinuities and how do you know?

b. What is the y-intercept for f(x) and how do you know?

c.
What is the x-intercept for f(x) and how do you know?

d. What is the end behavior for f(x) and how do you know?

No links or anything like that.

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  a. no discontinuities

  b. (0, 3)

  c. none

  d. f(x) → +∞ for |x| → ∞

Step-by-step explanation:

The function written in this problem statement is ...

a) Polynomial functions of any degree have no discontinuities.

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b) f(0) = 3. The y-intercept is (0, 3).

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c) x² is always positive, so there are no x-intercepts

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d) The leading coefficient of this even-degree polynomial is positive, so f(x) tends toward +∞ as |x| tends toward ∞.

7

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.