First, sketch a graph of the following piecewise function.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥0𝑥𝑥<00≤𝑥<11≤𝑥Determine whether there are any points of discontinuity and write the x-values in curly braces, e.g. {10,12}. Enter empty braces {} if there are no points of discontinuity.

irst, sketch a graph of the following piecewise function.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥0𝑥𝑥<00≤𝑥<11≤𝑥Determine whether there are any points of discontinuity and write the x-values

First, sketch a graph of the following piecewise function.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥0𝑥𝑥<00≤𝑥<11≤𝑥

Which piecewise function is shown on the graph? A. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 2 ,𝑥 ≥ 1 B. 𝑓⁡(𝑥) = {-5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 3 ,𝑥 ≥ 1 C. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 2 ,𝑥 ≥ 1 D. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 3 ,𝑥 ≥ 1

Find the value of the constant 𝑎 that will make this piecewise function continuous everywhere.𝑓(𝑥)=⎧⎩⎨⎪⎪𝑥+1𝑎1−𝑥𝑥<0𝑥=0𝑥>0

The piecewise-function 𝑓(𝑥) has opposite expressions. 𝑓(𝑥)={2𝑥−1,𝑥<00,𝑥=0−2𝑥+1,𝑥>0Which is the graph of 𝑓(𝑥)