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Andrei [34K]
2 years ago
12

Graph the piecewise-defined function

Mathematics
2 answers:
astraxan [27]2 years ago
3 0

Start by graphing y = |x|. Its vertex is at (0,0), and the graph opens up.

Now translate the entire graph 4 units up. The new vertex will be at (0,4). Draw an empty circle around this point.

Darken the graph of y = |x|+4 ONLY for the part which is left of the y-axis.

Now plot a dark dot at (0,4). Draw a dark, horiz. line from that dot to the right.

That's it!

STatiana [176]2 years ago
3 0
<h2>Answer with explanation:</h2>

The function f(x) is given by:

f(x)=  |x|+4, if  x<0

 and    4 ,  if x ≤ 0.

  • for x<0

The graph of the function is a strictly decreasing continuous graph i.e. a line with a slope as: -1.

Since, the function f(x) for x<0 is given by:

f(x)= -x+4

also at x=0-    f(x)=4

  • Also , for x≥0 the graph of the function is a straight line parallel to the x-axis.

Also, the left hand limit at x=0 is equal to the right hand limit at x=0 is equal to the function's value at x=0.

Hence, the graph of the function is continuous for all the real values.

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What is the slope of a line perpendicular to the line whose equation is x-3y=-6x−3y=−6​
marissa [1.9K]

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 3y = - 6 into this form

Subtract x from both sides

- 3y = - x - 6 ( divide all terms by - 3 )

y = \frac{1}{3} x + 2 ← in slope- intercept form

with slope m = \frac{1}{3}

Given the slope m of a line then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

7 0
3 years ago
Simplify.
elena55 [62]

\dfrac{4}{10}-\dfrac{2}{15}=\dfrac{4\cdot 15-10\cdot 2}{10\cdot 15}\\\\=\dfrac{40}{150}=\dfrac{4}{15}

The correct choice appears to be ...

... A) 4/15

7 0
3 years ago
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Can the sum of two mixed numbers be equal to 2? ​
Sholpan [36]
No it depends on the sum of the two numbers
4 0
3 years ago
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Find the sum of the arithmetic sequence 1, 3, 5, 7, … , 99.
bezimeni [28]

The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

<h3>What is Sequence?</h3>

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

=2525

Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

To learn more on Sequence click:

brainly.com/question/21961097

#SPJ1

6 0
1 year ago
2/3 ÷ 2/12= <br>What is the answer?​
Lynna [10]
It’s 4 have a good day
7 0
3 years ago
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