Question

Which are points on the graph of y = 1.5+ [x]? Select three options

(-4.5, -2.5)
(-0.8,0.5)
(7.9, 9.5)
(4.5, 6)
(1.3, 3.5)

Answer 1

The point (-0.8, 0.5) is on the graph of the equation y = 1.5 + [x].

Step-by-step explanation:

The graph of the equation y = 1.5 + [x] represents a step function. [x] represents the greatest integer less than or equal to x. To determine if a point is on the graph of the equation, you need to substitute the value of x into the equation and check if the resulting y value matches. Let's check the options:

1. (-4.5, -2.5): The greatest integer less than or equal to -4.5 is -5. Therefore, y = 1.5 + [-4.5] = 1.5 + (-5) = -3.5. The y-value does not match, so this point is not on the graph.
2. (-0.8, 0.5): The greatest integer less than or equal to -0.8 is -1. Therefore, y = 1.5 + [-0.8] = 1.5 + (-1) = 0.5. The y-value matches, so this point is on the graph.
3. (7.9, 9.5): The greatest integer less than or equal to 7.9 is 7. Therefore, y = 1.5 + [7.9] = 1.5 + 7 = 8.5. The y-value does not match, so this point is not on the graph.
4. (4.5, 6): The greatest integer less than or equal to 4.5 is 4. Therefore, y = 1.5 + [4.5] = 1.5 + 4 = 5.5. The y-value does not match, so this point is not on the graph.
5. (1.3, 3.5): The greatest integer less than or equal to 1.3 is 1. Therefore, y = 1.5 + [1.3] = 1.5 + 1 = 2.5. The y-value does not match, so this point is not on the graph.

Therefore, the points (-0.8, 0.5) is on the graph of the equation y = 1.5 + [x].