1) Let *f(x)* = {x² for x < 1

{2x - 5 for x ≥ 1

(a) Graph the piecewise-function from x = -2 to x = 4.

(b) Find the domain for all *f(x)*.

(c) Find the range for all *f(x)*.

(d) Is *f(x)* continuous on its domain? *Yes *or *No*

GAMEMASTERX40 Nov 23, 2019

edited by
GAMEMASTERX40
Nov 23, 2019

edited by GAMEMASTERX40 Nov 23, 2019

edited by GAMEMASTERX40 Nov 23, 2019

edited by GAMEMASTERX40 Nov 23, 2019

edited by GAMEMASTERX40 Nov 23, 2019

#1**+2 **

(a) Here's the graph : https://www.desmos.com/calculator/6ur4exjxcr

(b) The domain fo the first function is (-inf, 1)

The domain for the second function is [ 1, inf )

(c) The range of the first function is [ 0 , inf )

The range of the second function is [ -3, inf )

(d) Not contunious....as the graph shows

CPhill Nov 23, 2019

#2**+1 **

Hey CPhill I found a mistake with your graph which threw me off so I fixed it here: https://www.desmos.com/calculator/tqvci9lcnt

As you can see you are graphing the function from x = -2 to x = 4 and your graph had the signs facing the wrong way. Maybe you can look it over and fix (b), (c), and (d) in the problem which I think affects it from the mistake.

GAMEMASTERX40
Nov 23, 2019