Question

Find all points of discontinuity for the following piecewise function: $\begin{aligned} f(x) = \begin{cases} -5x, & \text{if } x < -5\\ x^2, & \text{if } -5 < x < 0\\ 3x, & \text{if } 0 < x < 3\\ \frac{x}{x-4}, & \text{if } 3 \le x \le 6\\ x - 5, & \text{if } 6 < x \le 7\\ 2, & \text{if } 7 < x \end{cases} \end{aligned}$ $x = 0, x = 4, x = 5, x = 7$ $x = 0, x = 3, x = 4, x = 5, x = 7$ $x = -5, x = 0, x = 3, x = 4, x = 5, x = 6$ $x = 0, x = 3, x = 4, x = 6$ $x = 3, x = 4, x = 6, x = 7$ $x = -5, x = 0, x = 4, x = 6, x = 7$ None of the above.

          Find all points of discontinuity for the following piecewise function:
$\begin{aligned} f(x) = \begin{cases} -5x, & \text{if } x < -5\\ x^2, & \text{if } -5 < x < 0\\ 3x, & \text{if } 0 < x < 3\\ \frac{x}{x-4}, & \text{if } 3 \le x \le 6\\ x - 5, & \text{if } 6 < x \le 7\\ 2, & \text{if } 7 < x \end{cases} \end{aligned}$
$x = 0, x = 4, x = 5, x = 7$
$x = 0, x = 3, x = 4, x = 5, x = 7$
$x = -5, x = 0, x = 3, x = 4, x = 5, x = 6$
$x = 0, x = 3, x = 4, x = 6$
$x = 3, x = 4, x = 6, x = 7$
$x = -5, x = 0, x = 4, x = 6, x = 7$
None of the above.

Find all points of discontinuity for the following piecewise function:
f(x) = -5x, if x < -5
x^2, if -5 < x < 0
3x, if 0 < x < 3
(x)/(x-4), if 3 ≤ x ≤ 6
x - 5, if 6 < x ≤ 7
2, if 7 < x
x = 0, x = 4, x = 5, x = 7
x = 0, x = 3, x = 4, x = 5, x = 7
x = -5, x = 0, x = 3, x = 4, x = 5, x = 6
x = 0, x = 3, x = 4, x = 6
x = 3, x = 4, x = 6, x = 7
x = -5, x = 0, x = 4, x = 6, x = 7
None of the above.

Added by Shawn S.

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