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≤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.

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

Consider the piecewise functionf (x) =x + 1, if x < −21, if − 2 ≤ x ≤ 1x2, if x > 1.(i) Find limx→−2 f (x) if it exists.(ii) Show that f is continuous at x = 1.(iii) Sketch the graph of f (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

From the graph of f, state each x-value at which f is discontinuous. For each x-value, determine whether f is continuous from the right, or from the left, or neither. (Enter your answers from smallest to largest.)x = (smallest value)continuous from the rightcontinuous from the left    neitherx = continuous from the rightcontinuous from the left    neitherx = continuous from the rightcontinuous from the left    neitherx = (largest value)continuous from the rightcontinuous from the left    neither