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Law Incorporation [45]
2 years ago
6

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

als of positive and negative, symmetry, and end behavior

Mathematics
1 answer:
Aloiza [94]2 years ago
8 0

The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

However, the minimum y value is -2 and it increases from there

So, the range of the graph is y > -2

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

  • x-intercept = -1 and -5
  • y-intercept = 1

<h3>Relative max and relative mins points and values, </h3>

The graph has no relative maximum and the relative minimum is (-3, 2)

<h3>Intervals of increase and decrease</h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

  • Increasing interval: (-3, ∝)
  • Decreasing interval: (-∝, -3)

<h3>Intervals of positive and negative</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

  • Positive interval: (-∝, -5) and (1, ∝)
  • Negative interval: (-5, -1)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the symmetry is x = -3

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

  • As x ⇒ ∝, f(x) ⇒ +∝
  • As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

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Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.
zavuch27 [327]

Answer:

The smallest power of 10 that will exceed M is 10^{6}.

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

x.y \times 10^{n}, \forall \,x,y\in \mathbb{N}

Where:

x - Integer part, formed by a digit, which is of the highest order.

y - Decimal part, formed by a digit onwards.

n - Power grade.

The smallest power of 10 that will exceed M is 10^{n+1}

If M = 118,526.65902, then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of M in scientific notation is:

M = 1.1852665902\times 10^{5}

Then, the smallest power of 10 that will exceed M is 10^{6}.

5 0
3 years ago
A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and th
avanturin [10]

Answer:

Total = 38\frac{11}{12}\ miles

Step-by-step explanation:

Given

First\ Route = 12\frac{2}{3}\ miles

Second\ Route = 10\frac{3}{4}\ miles

Third\ Route = 15\frac{1}{2}\ miles

Required

Determine the total miles

Total = First\ Route + Second\ Route + Third\ Route

Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}

Convert to improper fractions

Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}

Take LCM

Total = \frac{152 + 129 + 186}{12}

Total = \frac{467}{12}

Total = 38\frac{11}{12}\ miles

5 0
3 years ago
What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Deffense [45]

Answer:

Denote that line: y = ax + b

Line passes (-2, 7) and (2,-5):

=> -2a + b =7

=>  2a + b = -5

Add both side of above equations:

=> 2b = 2

=> b = 1

=> a = (-5 - 1)/2 = -3

=> Slope a = -3

Hope this helps!

:)

4 0
3 years ago
Please answer the problem and show your work.Thank you.
Vinvika [58]

Answer:

8. m=6

9.  x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.

Step-by-step explanation:

Question 8:

2m-6=m

-2m    -2m     (subtract 2m from both sides)

<u>-6</u>=<u>-m</u>  

-       -     (divide both sides by the negative)

m=6

Question 9:

<u>8x</u>=<u>16  </u>              (divide both sides of the equation by 8)

8     8

x=2

8 0
1 year ago
Read 2 more answers
Please assist me<br><br>NO LINKS!!<br>​
Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0
3 years ago
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