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Kaylis [27]
3 years ago
15

The absolute value function, f(x) = –|x| – 3, is shown. What is the range of the function?

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Answer:

Range = [-3,-∞)

Step-by-step explanation:

Let us see the parent function of

f(x)=-\left | x \right |-3

The parent function is

f(x) =\left | x \right |

f(x)=-\left | x \right |-3

is translated function. The parent function is reflected along x axis and then shifted down by three units.

please see the attached image.

The range of the parent function is All positive real numbers. Where as the range of translated function f(x)=-\left | x \right |-3 is negative real numbers , from -3 and onward

or

Range = [-3,-∞)

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1) View image attached

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3 years ago
A local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers sold
elena55 [62]

375 hamburgers were sold on Wednesday

<em><u>Solution:</u></em>

Let "h" be the number of hamburgers sold

Let "c" be the number of cheeseburgers sold

To find: number of hamburgers sold on Wednesday

Given that local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday

Therefore,

number of hamburgers sold + number of cheeseburgers sold = 686

h + c = 686 ------- eqn 1

There were 64 fewer cheeseburgers sold than hamburgers

Number of cheeseburgers sold = number of hamburgers sold - 64

c = h - 64 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

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2h - 64 = 686

2h = 686 + 64

2h = 750

h = 375

Thus 375 hamburgers were sold on Wednesday

8 0
3 years ago
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