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3 years ago

What is the range of the function?

Mathematics

2 answers:

My name is Ann [436]3 years ago

7 0

Answer:

The range of the graph is all real numbers greater than or equal to 0."

Step-by-step explanation:

For a square root function

we see that x values has to be greater than or equal to 0 or else we get negative roots, which is not possible.

So domain (x-values for which function is defined) will be x ≥ 0

We can't get any negative answers from square root functions, so the range would be anything greater than or equal to zero.

So range (y-values for which function is defined) will be y ≥ 0

looking at the answer choices, the last one is right..

Iteru [2.4K]3 years ago

7 0

Answer:

The range is all real numbers less than or equal to 4

Step-by-step explanation:

You might be interested in

Find the diagonal of a television screen 30 inches wide by 35 inches tall.

marin [14]

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

4 0

3 years ago

A tractor trailer's maximum load is 32,000 pounds. If it is already carrying a forklift that weighs 8,200 pounds, how many 250-p

mina [271]

32000-8200=23800pounds
23800/250=95

8 0

3 years ago

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

What value of x is in the solution set of 8x – 6 > 12 + 2x?

Harman [31]

Answer:

$8x - 6 > 12 + 2x \\ 8x - 2x > 12 + 6 \\ 6x > 18 \\ \frac{6x}{6} > \frac{18}{6} \\ x > 3$

hope this helps you...!

3 0

3 years ago

Read 2 more answers

Finding the inverse of y=(x+3)^2

Julli [10]

Answer:

(sqrt)x -3=y

Step-by-step explanation:

x=(y+3)^2

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

$\sqrt{x}$ =y+3

$\sqrt{x}$ -3=y

8 0

3 years ago