Question

tions below. then fill in the information about the coefficients a, b, c, and d. y = b|x| y = c|x| y = d|x| whether it is positive or negative. positive c: (choose one) ^ d: (choose one) to 0. positive negative least value.

Explanation:

Step1: Recall the property of absolute - value function

The general form of an absolute - value function is $y = a|x|$. When $a>0$, the graph opens upwards, and when $a < 0$, the graph opens downwards.

Step2: Analyze the graph of $y = C|x|$

The graph of $y = C|x|$ opens upwards. So, $C>0$, i.e., $C$ is positive.

Step3: Analyze the graph of $y = D|x|$

The graph of $y = D|x|$ opens downwards. So, $D<0$, i.e., $D$ is negative.

Answer:

C: positive
D: negative