Question

(NEEDED HELP ASAP, TIMER)

Which are points on the graph of y = 1.5 + ⌈x⌉? Select THREE options


1. (–4.5, –2.5)

2. (–0.8, 0.5)

3. (7.9, 9.5)

4. (4.5, 6)

5. (1.3, 3.5)

Answer 1

None of the given points are on this graph of y = 1.5 + [x].

Explanation:

The given function is f(x) = y = 1.5 + [x].

1. Now, f(- 4.5) = 1.5 + [- 4.5] = 1.5 - 5 = - 3.5 ≠ - 2.5

{Since, for - 5 ≤ x < - 4, [x] = - 5}

2. And, f(- 0.8) = 1.5 + [- 0.8] = 1.5 - 1 = - 0.5 ≠ 0.5

{Since, for -1 ≤ x < 0, [x] = - 1}

3. And, f(7.9) = 1.5 + [7.9] = 1.5 + 7 = 8.5 ≠ 9.5

{Since, for 7 ≤ x < 8, [x] = 7}

4. And, f(4.5) = 1.5 + [4.5] = 1.5 + 4 = 5.5 ≠ 6

{Since, for 4 ≤ x < 5, [x] = 4}

5. Finally, f(1.3) = 1.5 + [1.3] = 1.5 + 1 =2.5 ≠ 3.5

{Since, for 1 ≤ x < 2, [x] = 1}

So, none of the given points are on this graph of y = 1.5 + [x]. (Answer)