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2 years ago

12

Please help I don’t understand how to describe the Domain and range of the function

1 answer:

bulgar [2K]2 years ago

3 0

Answer:

domain = {x|xER}

range = {y|y≥0,yER}

Step-by-step explanation:

|x| means the absolute value which in this case is the distance from 0. On a graph this function would look like a v and would mean it would have infinite x-values since it is opening upwards in both directions.

For the range the vertex of this function is (0,0), if the x-coordinate were 0 the y-coordinate would be 0 because the absolute distance from 0 is 0. for another x-coordinate say -2 the absolute distance from 0 is 2 meaning the y-value is 0 since y=|x|, making the coordinate (-2,2) meaning the range is every y value must be above 0 since there is no way for the y-value to be negative

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kati45 [8]

Answer:

AB = 185.77 feet

Step-by-step explanation:

From the figure attached, in ΔABC,

m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet

We have to find the measure of side AB.

Since ∠A + ∠B + ∠C = 180°

∠A + 103.2 + 14.4 = 180

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= 62.4°

By applying sine rule in the given triangle ABC

$\frac{AB}{sinC}=\frac{BC}{sinA}$

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2 years ago

Two consecutive even integers have a sum of 46

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Use a given information to create equation for the rational function. The function is written in factored form to help see how t

Mars2501 [29]

Recall that a rational function:

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Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

$P(x)=k(x-2)(x-2)\text{.}$

Finally, since the rational function has y-intercept at (0,2) we get that:

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Simplifying the above equation we get:

$\begin{gathered} \frac{k(-2)(-2)}{1}=2, \\ 4k=2. \end{gathered}$

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$\begin{gathered} \frac{4k}{4}=\frac{2}{4}, \\ k=\frac{1}{2}\text{.} \end{gathered}$

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$f(x)=\frac{\frac{1}{2}(x-2)(x-2)}{x+1}\text{.}$

Answer:

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$\frac{1}{2}(x-2)(x-2)$

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