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Arte-miy333 [17]
3 years ago
5

ANSWER CORRECTLY FOR BRAINLEST! (07.06) There are currently 3 students signed up for a trip. The van can transport only 7 studen

ts. Which graph shows all the possible values for the extra number of students that need to sign up so that more than one van is needed to transport them?
Number line with closed circle on 4 and shading to the right.
Number line with closed circle on 4 and shading to the left.
Number line with open circle on 4 and shading to the right.
Number line with open circle on 4 and shading to the left.
Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

<u>Hey there the correct answer to this is Number line with open circle on 4 and shading to the right. </u>

<u>Hope it helps to your question you are looking for! ;)</u>

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Step-by-step explanation:

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State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
aleksandr82 [10.1K]

Answer:

Domain: [-1,\infty)

Range: (-\infty, 3]

Decreases over: (-1,-\infty)

Step-by-step explanation:

Given

f(x) = -\sqrt{x + 1} + 3 --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

x + 1 \ge 0

Solve for x

x + 1 -1\ge 0-1

x \ge -1

Hence, the domain is:

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To get the range, we plot the values of the domain in the expression.

x = -1

f(x) = -\sqrt{x + 1} + 3

f(-1) = -\sqrt{-1+1} +3

f(-1) = -\sqrt{0} +3

f(-1) = -0 +3

f(-1) = 3

x = \infty

f(\infty) = -\sqrt{\infty +1}+3

f(\infty) = -\sqrt{\infty}+3

f(\infty) = -\infty+3

f(\infty) = -\infty

So, the range is: (-\infty, 3]

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval (-1,-\infty)

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