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dmitriy555 [2]
4 years ago
12

For which interval is the function constant?

Mathematics
2 answers:
mamaluj [8]4 years ago
7 0

Answer:

The interval in which the function is constant is:

                        (-4,0)                      

Step-by-step explanation:

A function is constant if it has the same output value for the  every input value.

Also, the graph of a constant function is a horizontal line i.e. a line with zero slope   ( i.e. y=a for some 'a' )

Now in the given graph we  observe that the graph:

  • is a decreasing function in the interval (-∞,-4).

( since it is a line with negative slope )

  • is a horizontal line in the interval (-4,0).
  • is a decreasing function in the interval (0,4) .

( Since the graph is a line with negative slope )

  • and is a increasing function in the interval (4,∞).

( Since the graph is a line with positive slope )

Hence, the interval in which the function is  constant is:

                             (-4,0)

Juli2301 [7.4K]4 years ago
3 0
The interval from x = -4 to x = 0 is when the graph is completely flat. 

We can write this interval as -4 < x < 0 which becomes (-4,0) in interval notation

That's why the answer is choice C

Note: be careful not to mix up interval notation and ordered pair notation
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