PLEASE PLEASE PLEASE I WILL DO ANYTHING

What is the domain of the function shown in the graph?

masha68 [24]

Answer:

(-∞, ∞)

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

An asymptote is a line that the curve gets infinitely close to, but never touches.

The arrows on either end of a graphed curve show that the function <u>continues indefinitely</u>. Therefore, we cannot assume there is an asymptote at x = -3 as we cannot see what happens to the curve as x approaches -∞.

Therefore, the domain of the given function is unrestricted:

Solution: { x | -∞ < x < ∞ }
Interval notation: (-∞, ∞)

4 0

2 years ago

Read 2 more answers

Which of the following represents a function with the greatest rate of change?

defon

So the rate of change can be found in different places.

For the first one:

This equation is in slope-intercept form, or y = mx + b.

m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)

So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.

For the second one: The formula for slope is:

m = $\frac{ y_{2} - y_{1} }{x_{2} - x_{1} }$

So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).

Or,

m = (30 - 22) / (6 - 4)

Or,

m = 8/2

Or 4.

For the third one:

You can use the same formula as I stated above.

So you have to look for two ordered pairs here, two points.

So you can estimate that two of the points are: (0, 3) and (-2, -9).

So then just solve for that.

(-9 - 3) / (-2 - 0) = -12 / -2 = 6

For the last one:

Again, use the same equation.

m = (7 - 1) / (-1 - (-3))

m = 6/2

m = 3

So the one with the greatest rate of change would be C.

5 0

3 years ago

Read 2 more answers

Zoro Manufacturing Company manufacturers wooden picture frames. Each piece of wood yields 15 frames. Each piece of wood costs $1

sesenic [268]

To determine the cost of manufacturing one picture frame, add all the known cost by the number of frames produced. With the basis of one hour of operation,

Cost of wood per frame = $18.75 / 15 = $1.25

Cost of direct labor per frame = $ 13.50 / 65 = $ 0.21

Adding all up the costs,

total cost = $1.25 + $0.21 = $1.46

Therefore, manufacturing one picture frame costs approximately $1.46.

6 0

3 years ago

You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu

Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

$y = 3x$

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

$x \geq 0$

Assume $x = 1$

$y = 3 * 1 = 3$

Assume x = 4

$y=3*4 = 12$

Assume x = 6

$y=3*6 = 18$

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0

3 years ago

A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[4-1]^2+[-1-(-5)]^2}\implies d=\sqrt{(4-1)^2+(-1+5)^2} \\\\\\ d = \sqrt{3^2+4^2}\implies d =\sqrt{9+16}\implies d=\sqrt{25}\implies \stackrel{\textit{right on the circle}}{d = 5}$

5 0

3 years ago