1. Let f(x) = { x2 – 3        if x < 0 )                      { x – 7            if x ≥ 0 a. Find f(4) b. Find f(-3)   2. Graph the following piece-wise function: { 3                   if x < -1 f(x)= { x + 2    if -1 ≤ x ≤ 2 { – 5                 if x > 2

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

A:

Q: Va + 7 Determine the domain of the following function: f(x): %3D Ox 2 - 7 and z 3 Or + 3 and a # -7…

A:

Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

A: Given : g(x)=x2for x&lt;0-3for x=0-2x+3for x&gt;0

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.