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3 years ago

Construct a radical function whose domain is all real numbers. Provide evidence as to why the domain of your radical function is

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

Cube root function

Step-by-step explanation:

<u>Examples of radical functions:</u>

y = √x and
y = ∛x

The first one undefined when the domain is negative

The second one is defined at any value of domain, so it includes all real numbers

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Mrs. Galicia has a cupcake company. The amount of money earned is represented by

sashaice [31]

Using the profit function, it is found that:

a) She earns $36 after 25 years.

b) The function was shifted right 4 units and up 1 units.

<h3>What is the profit function?</h3>

The profit, in x years after 2015, is given by:

$p(x) = 12\sqrt[3]{x + 2}$

Item a:

She earns $36 after x years, considering x for which p(x) = 36, hence:

$p(x) = 12\sqrt[3]{x + 2}$

$36 = 12\sqrt[3]{x + 2}$

$\sqrt[3]{x + 2} = 3$

$(\sqrt[3]{x + 2})^3 = 3^3$

$x + 2 = 27$

$x = 25$

She earns $36 after 25 years.

Item b:

The new function is:

$h(x) = 12\sqrt[3]{x - 2} + 1$

At the domain, we have that $x + 2 \rightarrow x - 2$ , that is, $x \rightarrow x - 4$ , hence it was shifted right 4 units.

At the range, we have that $h(x) = h(x - 4) + 1$ , hence it was shifted up 1 unit.

You can learn more about functions at brainly.com/question/24380382

6 0

3 years ago

What is the slope of the line between (−4, 4) and (−1, −2)?<br><br> a. 1<br> b. 2<br> c.−2<br> d. −1

Vikki [24]

M= $\frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}$

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
<span>m= -6 / 3
</span>m= -2

the slope is -2 (C.)

7 0

3 years ago

Read 2 more answers

Help help help help help help

aleksklad [387]

I think it is 36 because you would have to multiply the numbers.

-Dhruva;)

4 0

4 years ago

Loading Shmoop

olga_2 [115]

H I hope that’s helps

4 0

3 years ago

Can someone plsss help me

balu736 [363]

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

6 0

3 years ago