Graph the following piecewise functions and discuss continuity: f(x)=√-3x+1, x <1 (x², x ≥1 (3, x≤-1 g(x)=x2, -12

Q: Consider the function if g(x) = if 2. if x>0. And study its continuity at x=0

A:

Q: if x < - 4 - Let f(x) = x² + 3x 8 if x ≥ - 4 - If f(x) is a function which is continuous everywhere,…

A:

Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: Graph the piecewise function defined by

A:

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

A:

Q: The function f ( x) = (x-1)2-3 is not one-to-one. True O False

A: A function f is one-to-one if every element of the range of f corresponds to exactly one element of…

Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

A:

Q: Use the piecewise-defined function to find the following values for f(x). 1- 4x if xs - 2 f(x) = 4x…

A:

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

A:

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

A:

Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

A:

Q: 2x -5x+3 2. Given h(x) = x? +x-2 At what value of x does the function have an infinite…

A: Topic = Functions As per guidelines , At  a time only three sub-parts can be answered.   1) An…

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

A:

Q: Study the continuity of the following functions and show the process of how you tell if it is…

A: Here is the full solution for both Parts: To study the continuity of the functions provided in the…