Using translation concepts, it is found that the correct option regarding the function is:
The function h(x) is decreasing on the interval (3, ∞).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
Which increases on (0, ∞).
The translated function is given by:
With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:
The function h(x) is decreasing on the interval (3, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
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<span>4×2-z=7
⇒ 8 - z = 7
⇒ 8 - 7 = z
⇒ 1 = z
</span>
x+19= 26
x+19-19= 26-19
x= 7
Check answer by using substitution method
x+19= 26
7+19= 26
26= 26
Answer is x= 7 (D.)
We can not really tell in this question as you dont know the equation that is being used for the domain and range relationship but overall one should know that:
The set of values of the independent variable(s) for which a function or relation is defined as the domain of a function. Typically, this is the set of x-values that give rise to real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
So, the area of a rectangle is <span>LxW. </span>For this rectangle, <span>LxW=320. </span>We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get<span>(W+4)W=320. </span>Simplify to get <span>W^2+4w=320. </span>Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324. </span>Factor the left side of the equation and get<span>(W+2)^2=324. </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.
