### Home > PC > Chapter 2 > Lesson 2.3.6 > Problem 2-146

2-146.

Given the function*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.

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

*x*^{2} + 1 = −2*ax* + 7 for *x* = 1

Substitute 1 in for *x* and solve for *a*.