3 years ago

Where is the hole for the following function located?

1 answer:

7 0

It would seem to be a good idea to cancel the (x + 3) factors to get f(x) = 1/(x - 4)
This is a hyperbolic graph with a vertical asymptote at x = 4.
However when x = -3 the factor (x + 3) = 0 so cannot be cancelled at this point. 0/0 is undefined.
The graph is drawn leaving a hole in the line at x = -3
The limits as we approach x = -3 from above or below that point get closer and closer to -1/7

The correct answer is A

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Consider the following sine regression model y =18.614 sin(0.521x - 1.984) + 76.900. Predict y(14). I know the answer. Will mark

rosijanka [135]

Answer:

61.512

Step-by-step explanation:

Put 14 where x is and do the arithmetic. Arguments for trig functions are always radians unless otherwise specified.

y =18.614 sin(0.521x - 1.984) + 76.900

y =18.614 sin(0.521·14 - 1.984) + 76.900 = 18.614sin(5.31) +76.900

y ≈ 18.614·(-0.82668) +76.900 = -15.388 +76.900

y ≈ 61.512

The regression model predicts y(14) = 61.512.