Graph each function. state the domain and range f(x)= {-x-2if x>0

Mathematics

1 answer:

nevsk [136]2 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

For values of x less than zero, the graph of the function is a graph of the line

y = -x

Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).

For values of x greater than 0, the graph of the function is a graph of the line

y = -x -2

This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.

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There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day.

Annette [7]

Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is $\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr$ faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

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For the second clock that is 30 minutes slower in a day, that means it is $\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr$ faster every day. For it to show the correct time, the clock should be 24 hours slower.