Question

Which graph shows y=3⌈x⌉+1 ?

Answer 1

The graph located in the upper right corner of the image attached shows the graph of y = 3[x]+1.

In order to solve this problem we have to evaluate the function y = 3[x] + 1 with a group of values.

With x = { -3, -2, -1, 0, 1, 2, 3}:

x = -3

y = 3[-3] + 1 = -9 + 1

y = -8

x = -2

y = 3[-2] + 1 = -6 + 1

y = -5

x = -1

y = 3[-1] + 1 = -3 + 1

y = -2

x = 0

y = 3[0] + 1 = 0 + 1

y = 1

x = 1

y = 3[1] + 1 = 3 + 1

y = 4

x = 2

y = 3[2] + 1 = 6 + 1

y = 7

x = 3

y = 3[3] + 1 = 9 + 1

y = 10

x y

-3 -8

-2 -5

-1 -2

0 1

1 4

2 7

3 10

The graph that shows the function y = 3[x] + 1 is the one located in the upper right corner of the image attached.

Answer 2

The answer you picked was correct. I just took the test and that's it.

Explanation: