CPM Homework Help : PC Problem 2-146

Given the function, what must the value of a be so that f(x) is continuous at x = 1? (You can draw it without lifting your pencil.) Try this using the 2-146 eTool (Desmos). Homework Help ✎

Visualize this set of functions using the eTool below.

Hint:

Set the two parts of the function equal to each other for the value of x = 1.

Step 1:

x² + 1 = −2ax + 7 for x = 1

Step 2:

Substitute 1 in for x and solve for a.