Determine the X Values That Cause the Function to Be $$f ( x ) = x ^ { 2 } \cdot | 2 x + 5 |$$

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = x ^ { 2 } \cdot | 2 x + 5 |$$

A) (a) $\left\{ - \frac { 5 } { 2 } , 0 \right\}$
(b) $\varnothing$
(c) $\left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )$
(d) $\left( - \infty , - \frac { 5 } { 2 } \right)$
B) (a) $\left\{ - \frac { 5 } { 2 } , 0 \right\}$
(b) $\varnothing$ (c) $( - \infty , \infty )$
(d) $\varnothing$
C) (a) $\left\{ - \frac { 5 } { 2 } \right\}$
(b) $\{ 0 \}$
(c) $\left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )$
(d) $\left( - \infty , - \frac { 5 } { 2 } \right)$
D) (a) $\left\{ - \frac { 5 } { 2 } , 0 \right\}$
(b) $\varnothing$ (c) $\left( - \infty , - \frac { 5 } { 2 } \right) \cup \left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )$
(d) $\varnothing$

Correct Answer:

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