-x² +8, x< 2 [7] Given g(x) = 1 -x+3, x 2 2 Use the definition of continuity and properties of limits to show that f is continuous at x=2. (This means you will enumerate and show all three distinct steps)

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: Apply Corollary 2 to the Intermediate Value Theorem. f is a polynomial and continuous everywhere.…

A: Given that, f(-3) = 170 &gt; 0 f(-2) = -25 &lt; 0 f(-1) = 2 &gt; 0 f(0) = -1 &lt; 0 f(l) = 2 &gt; 0…

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…

Q: Determine where the function m(x) = x+1 (x-1)(x-4) is continuous. The function is continuous on…

A: