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ollegr [7]
3 years ago
12

I need help please. Which graph shows y=⌊x⌋+2?

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

Answer: Top right graph.

Step-by-step explanation:

The function ⌊x⌋ rounds the value x to the lower whole number.

for example:

⌊1.5⌋ = 1

⌊1.923⌋ = 1

⌊2.0⌋ = 2

then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.

if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.

You can check some points if you like:

f(0) = ⌊0⌋ + 2 = 2

f(0.5) = ⌊0.5⌋ + 2 = 2

f(1) = ⌊1⌋ + 2 = 3

So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.

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What is the solution to the inequality lx-4l&lt; 3? –7 &lt; x &lt; –1 1 &lt; x &lt; 7 x &lt; –7 or x &lt; –1 x &gt; 1 or x &lt;
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1

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality: |x-4|< 3

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1

So, Option B is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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