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2 years ago

Help! how can i determine the range

Mathematics

2 answers:

djverab [1.8K]2 years ago

3 0

Answer:

$[-1,\infty)$

Step-by-step explanation:

Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is $[-1,\infty)$ . In interval notation, we use brackets to show what's included and parentheses to show what's not included.

Cerrena [4.2K]2 years ago

3 0

Answer:

(-1, ∞)

Step-by-step explanation:

domain is side to side

range is down to up

range is up to down

this graph goes down to up

from

-1 to infinity

(-1, ∞)

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3 years ago

Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen

mojhsa [17]

Answer:

$y=\frac{\pi }{6}+5.196(x-3)$

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side $\frac{dy}{dx}=m=6cosx$

As it passes through the point $(\frac{\pi }{6},3)$

So $\frac{dy}{dx}=6cos\frac{\pi }{6}=5.196$

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$y=\frac{\pi }{6}+5.196(x-3)$

5 0

3 years ago

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len

Ghella [55]

<u>Answer:</u>

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

<u>Solution:</u>

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get

$\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}$ ------- eqn 1