1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
2 years ago
7

Which function is graphed below

Mathematics
1 answer:
borishaifa [10]2 years ago
8 0

Answer:

Step-by-step explanation:

Graph given for the function has three segments therefore, its a piecewise function.

For a segment lying between (2, ∞)

Slope of the line = \frac{\text{Rise}}{\text{Run}}

                            = \frac{2}{1}

                            = 2

y-intercept of the line = -2

Therefore, equation of the line will be,

y = 2x - 2

Second segment is a straight line,

Equation of the line will be,

y = 4

Third segment is a straight line.

Slope of the line = \frac{\text{Rise}}{\text{Run}}

                            = \frac{1}{1}

                            = 1

Equation of the line will be,

y = x + b

Since, this line passes through a point (6, 7)

7 = 6 + b

b = 1

Therefore, equation of the third segment will be,

y = x + 1

So the piecewise function will be,

f(x) = 2x - 2   For x < 2

        4     For 2≤ x ≤ 5

        x + 1   For x > 5

You might be interested in
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLU
Dimas [21]
Where is the image of the table?
8 0
2 years ago
PLSSS HELP ME WITH MATH
labwork [276]

Step-by-step explanation:

always remember, equations and inequalities are like a scale with 2 pans (left and right).

a variable is like a placeholder, an empty spot on the pans. and the expressions on both sides are kind of the conditions for the things to put in these empty spots so that the status of the scale stays unchanged.

for an equation the scale has to stay balanced all the time.

and in an inequality one side is heavier that the other (it normally does not matter how much heavier) with "<" or ">" signs, or the scale can be also balanced with "<=" or ">=" signs. just the other side must never be heavier.

A

so, in our case here

2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = 4. no other value of x allows the scale to be balanced.

2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = 4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. 5 ?

2×5 - 5 >= 3

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = 5 is also a valid solution.

what else ?

let's simplify the inequality

2x - 5 >= 3

2x >= 8

x >= 4

so, really every value of x that is greater or equal to 4 is a valid solution for the inequality.

B

-2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = -4. no other value of x allows the scale to be balanced.

-2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = -4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. -5 ?

-2×-5 - 5 >= 3

remember, -×- = +

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = -5 is also a valid solution.

what else ?

let's simplify the inequality

-2x - 5 >= 3

-2x >= 8

x <= -4

a multiplication or division by a negative value flips the inequality sign, because such an operation makes a light weight heavy and a heavy weight light.

so, really every value of x that is less or equal to -4 is a valid solution for the inequality.

3 0
2 years ago
2+8<br><br> PLSSS HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
romanna [79]

Answer:

10

Step-by-step explanation

2 + 8= 10

6 0
3 years ago
Read 2 more answers
Solve the equation.<br> у+ 6 = -3y + 26<br> оооо<br> o y= -8<br> o y= -5<br> е у= 5<br> o y= 8
slega [8]
Y = 5

5+6
11

-3(5) +26
-15+26
11

11=11
5 0
3 years ago
The regular selling price of a pair of men's jeans is $39.99. The markdown rate is 20%. What is the sale price of the jeans to t
Nastasia [14]
Take the original price, multiply it by 20% (you have to move the decimal place two to the left, so it becomes .2), then subtract the answer from the original price. 
39.99*.2= $7.998
39.99-7.998= $31.99
If you wanted to, you could also round the $7.998 to $8.00. Your answer would be the same. 
5 0
3 years ago
Other questions:
  • Using the circle below, determine the coordinates of the center and the length of the radius
    6·1 answer
  • Please provide the answer for me if anyone is per if anyone provides the answer I will answer to one of their questions thank yo
    5·1 answer
  • Jamal finish 5/3 of his homework margaret finished 3/4 of her homework and steave finish 10/12 of his homework which two student
    15·1 answer
  • Please help me *30 points*
    11·2 answers
  • A 5’5 person weight 4.4kg. How many pounds is this
    14·1 answer
  • A ferry traveled \dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in \dfrac37 7 3
    15·2 answers
  • Mark bought a new video game priced at 49.99. A sales tax of 8% was added to his purchase. How much tax did Mark pay?
    12·1 answer
  • Dating whats your opinion
    15·1 answer
  • PLS HELP!
    11·2 answers
  • Consider functions
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!