Calculus 1 Quiz - Section 1.5 Continuity

Use the image to answer the question

Use the image to answer the question

Using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{f\left(x\right)\ =\ \frac{\left(4x+5\right)}{\left(9-3x\right)}\right\}$$ @ x = -1

Using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{f\left(x\right)\ =\ \frac{\left(4x+5\right)}{\left(9-3x\right)}\right\}$$ @ x = 0

Using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{f\left(x\right)\ =\ \frac{\left(4x+5\right)}{\left(9-3x\right)}\right\}$$ @ x = 3

For problems 3 – 7 using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{g\left(z\right)\ =\ \left(\frac{6}{z^2\ -\ 3z\ -10}\right)\right\}$$ @ x = -2

For problems 3 – 7 using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{g\left(z\right)\ =\ \left(\frac{6}{z^2\ -\ 3z\ -10}\right)\right\}$$ @ x = 0

For problems 3 – 7 using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points.

$$\left\{g\left(z\right)\ =\ \left(\frac{6}{z^2\ -\ 3z\ -10}\right)\right\}$$ @ x = 5

For problems 3 – 7 using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points. ***DO PART A***

For problems 3 – 7 using only Properties 1 – 9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points. ***DO PART B***