Question

How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.

Answer 1

Answer: A) shift up 7 units

Explanation:

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer 2

Answer: A) shift up 7 units

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.