Question

GC/CAS Use your calculators for exercises 17-19 to determine the following. 17. For what value $c$ is the piecewise function $f(x) = \begin{cases} x^2 + c, & x \le 1\\ x - 2, & x > 1 \end{cases}$ continuous at $x = 1$? 18. For what value $n$ would the piecewise function $z(x) = \begin{cases} 5.6^{x-4}, & 0 < x < n\\ -(x - 4)^3 + 7, & x \ge n \end{cases}$ be continuous at $x = n$? 19. Graph $j(x) = \frac{3x^2}{4x^3 - 7x + 1}$. For what values of $x$ does the limit appear to be nonexistent?

          GC/CAS Use your calculators for exercises 17-19 to determine the following.
17. For what value $c$ is the piecewise function $f(x) = \begin{cases} x^2 + c, & x \le 1\\ x - 2, & x > 1 \end{cases}$ continuous at $x = 1$?
18. For what value $n$ would the piecewise function $z(x) = \begin{cases} 5.6^{x-4}, & 0 < x < n\\ -(x - 4)^3 + 7, & x \ge n \end{cases}$ be continuous at $x = n$?
19. Graph $j(x) = \frac{3x^2}{4x^3 - 7x + 1}$. For what values of $x$ does the limit appear to be nonexistent?

GC/CAS Use your calculators for exercises 17-19 to determine the following.
17. For what value c is the piecewise function f(x) = x^2 + c, x ≤ 1
x - 2, x > 1 continuous at x = 1?
18. For what value n would the piecewise function z(x) = 5.6^x-4, 0 < x < n
-(x - 4)^3 + 7, x ≥ n be continuous at x = n?
19. Graph j(x) = (3x^2)/(4x^3 - 7x + 1). For what values of x does the limit appear to be nonexistent?

Added by Jonathan D.

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