Domain and Range
For each problem, state the domain over which \(y\ge0\).
1) \(y=x+3\)
For each problem, state the domain over which \(y\ge0\).
1) \(y=x+3\)
2) \(y=-x\left(x+3\right)\)
3) \(y=x\left(x+3\right)\)
4) \(y=x\left(x+3\right)\left(x-2\right)\)
5) \(y=\frac{1}{8}x\left(x+3\right)\left(x-2\right)\left(x-5\right)\)
6) \(y=\large\frac{x}{x+3}\)
7) \(y=\large\frac{x\left(x+3\right)}{x-2}\)
8) \(y=\large\frac{x\left(x+3\right)}{\left(x-2\right)\left(x-5\right)}\)
Solutions
EXTENSION:
A. For each problem above, state the domain over which \(y\le0\).
B. Write a summary of this activity reflecting on what the solutions are when asked when a function is greater than or equal to zero. What key features of a graph are important in identifying when a function is greater than zero?