### Home > APCALC > Chapter 6 > Lesson 6.1.2 > Problem 6-29

6-29.

Let* * and

*are constants. 6-29 HW eTool (Desmos). Homework Help ✎*

For what value(s) of

is the graph non-differentiable, regardless of the values ofand? Explain what happens to the graph at these points.has a cusp within the domain of one of the pieces. Where is it?Determine the values of

*a*andsuch that the graph is both continuous and differentiable at.Write a system of equations: [piece 1 of

*f*(*x*)] = [piece 2 of*f*(*x*)], evaluated at. [piece 1 of*f*'(*x*)] = [piece 2 of*f*'(*x*)], evaluated at.

Use algebra to solve forand.

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