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1 year ago

Explain how to graph the given piecewise-defined

Mathematics

1 answer:

Pavlova-9 [17]1 year ago

5 0

The Piecewise -Defined function and how it is graphed is given below..

<h3>What is the explanation of how the Piecewise -Defined function is graphed?</h3>

Given the function in the attached image,

The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.

The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.

The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.

See the attached Graph for better understanding.

f(x) = -x + 3 is coded purple.
f(x) = 3 is coded orange.
f(x) = 4 - 2x is coded green.

Learn more about Piecewise -Defined function:
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2 years ago

In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. Of the students who have a dog as a pet also have cat as a pet.

Travka [436]

Answer:

This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:

"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"

Where X must be a positive number smaller than one, now we can solve it:

we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:

N = 45*(4/5) = 36

And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:

M = 36*X

now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")

M = 36*(1/2) = 18

So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.

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2 years ago

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