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yuradex [85]
1 year ago
14

Which of the following is the graph of the piecewise function

Mathematics
1 answer:
trapecia [35]1 year ago
8 0

By analyzing the piecewise function, we conclude that the first graph is the correct one,

<h3>Which of the following is the graph of the piecewise function?</h3>

The first part of the piecewise function is:

f(x) = √(-x - 2) for x ≤ -2

This parts ends at:

f(-2) = 0

With that, we can discard the last two graphs.

Now, the second part is a rational function with a negative coefficient.

Because of that sign, when x is positive, the function tends to negative infinite near in the asymptote, while when x is negative, the function tends to positive infinite in the asymptote.

Because of that, we conclude that the correct option is the first graph.

If you want to learn more about piecewise functions:

brainly.com/question/3628123

#SPJ1

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Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4
Vilka [71]
4 - 8 = -4

A negative number is alwats at the left in a horizontal line.

Let's try to rapresent it.

-4 -3 -2 -1 0 +1 +2 +3 +4

So, you count from +4 to -4

Your answer is "8 units to the left of 4"
4 0
3 years ago
Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with th
KatRina [158]

Answer:

21 weeks

Step-by-step explanation:

In this question, we are to use proportionality to find the solution to the question.

We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.

Let us make a mathematical representation for this.

Let the time be t, number of workers be w and length be l

t is directly proportional to l and inversely proportional to w

Mathematically;

t = kl/w

Where k is the constant of proportionality.

Let’s find the value of k

150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k

14 = k * 12/150

k = 150 * 14/12 = 175

Now we want to get t given w and l

from ;

t = kl/w

We can get t; where l = 15 and w = 125

t = 175 * 15/125

t = 21 weeks

4 0
3 years ago
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Which value shows written as a percent?
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Your answer would be a

7 0
3 years ago
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What is the equation of the line shown in this graph? ​
navik [9.2K]

Answer:

x=-2

Step-by-step explanation:

Since it's a vertical line the answer is going to be x= which ever number the line is on. In this case x=-2

7 0
2 years ago
Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio
ANTONII [103]

The missing options are:

A.\ f(20) =5,000

B.\ f(5000) = 20

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

A.\ f(20) =5,000

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  (x,y)

So, when x = 20 and y = 5000 ----- given

(x,y) implies that:

(x,y) = (20,5000)

We got (20,5000) by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

y = f(x)

Substitute values for x and y

5000 = f(20)

Reorder

f(20) = 5000

<em></em>

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

3 0
3 years ago
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