Question

Which are points on the graph of y = 1.5 + ⌈x⌉? Check all that apply.

A. (–4.5, –2.5)

B. (–1.5, 0)

C. (–0.8, 0.5)

D. (1.3, 3.5)

E. (4.5, 6)

F. (7.9, 9.5)

Answer 1

B, E

Explanation:

The function y=1.5+x has two points listed which make the equation true.

(-1.5,0)

y=1.5+x

0=1.5+-1.5

0=0

(4.5,6)

y=1.5+x

6=1.5+4.5

6=6

Answer 2

Option A,D and F

Explanation:

Given : Function
`y=1.5+\lceil x\rceil`

To find : Which are points lie on the graph of given function?

Solution :

To determine the points lie on the graph,

First we graphed the given function
`y=1.5+\lceil x\rceil`

In the function, ⌈x⌉ means the ceiling of x, i.e. the smallest integer greater than or equal to x.

Refer the attached figure below.

Now, We mark all the points mention in question.

We note the point line on the ceiling x are A(-4.5, -2.5), D(1.3, 3.5) and F(7.9, 9.5).

Therefore, The required result is Option A,D and F.