RaeleighL356550 RaeleighL356550
  • 03-11-2022
  • Mathematics
contestada

I am trying to graph a vertical shift for a greatest integer function

Respuesta :

DmiyahE721042 DmiyahE721042
  • 03-11-2022

ANSWER

EXPLANATION

The graph of the parent function f(x) = [x] is

The function has the value of x until the next integer. So we have:

f(x) = 0 when x = 0 until x = 1, and then it changes to f(x) = 1. This is for all values of x. We can say that the function "jumps" on each integer and then keeps its value.

If we do a vertical shift of 2 units we have to add 2 to each value of the parent function. This way the shifted function is f(x) = 2 when x = 0 until x = 1, and then it jumps to f(x) = 3:

Ver imagen DmiyahE721042
Ver imagen DmiyahE721042
Ver imagen DmiyahE721042
Answer Link

Otras preguntas

Frankish knights introduced feudalism to a. Italy. c. Scandinavia. b. Britain. d. Japan.
can someone please make a poem for me about summer and how good and bad it is for school?
How can the occurrence of fossils and their known age ranges be used to date rocks?
How do these lines help establish themes in the poem
From 1796 to 1807, the capital of Georgia was "Louisville." Why was the city was named "Louisville"?
Which of the following would not be considered renewable forms of energy? A. Nuclear reactors using Pu-239 B. burning coal C. Photovoltaics D. Geothermal en
(6x^3 - 8x - 5) + (3x^3x + 6x + 2)
What is the definition of a warranty
What is the volume of a cube that has a face diagonal of 5 centimeters
FILL IN THE BLANK At the end of cellular respiration, a eukaryotic cell in an aerobic environment can yield a net total of ___ ATP molecules per glucose molecul