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ehidna [41]
3 years ago
10

Please help meeee

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer:

For the given function f(x)= -|x| + 2

the domain of the function is: All real numbers

the range of the function is: all numbers greater than or equal to 2

Step-by-step explanation:

We need to find the domain and range of the function f(x)= -|x| + 2.

Domain: Domain is defined as all the possible x values of x for which the function is true.

Range: Range is defined as all the possible y values.

So, For the given function f(x)= -|x| + 2

the domain of the function is: All real numbers (the function is true for all real numbers)

the range of the function is: all numbers greater than or equal to 2

(When solving the equation we will have value of f(x) equal or greater than 2)

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Asnwer question in screenshot pls
AlexFokin [52]
<h3>Answers:</h3>
  • first box = 0
  • second box = 0
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It's not a typo that 0 is written twice.

==============================================================

Explanation:

This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.

Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0

slope = rise/run

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In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.

This is why you'll type 0 into the first two boxes.

------------------

As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.

We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.

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