After finishing problems #1-3 from today's handout, explore what happens when you adjust the sliders for the graph of an absolute value function. Use these observations to help answer the following questions. [b]Write your answers in your notebook and submit them to blackbaud via the assignment.[/b]
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
How are the graphs of [math]f\left(x\right)=|x|[/math] and [math]f\left(x\right)=x[/math] similar? How are they different?
Describe what the graph looks like when the value of[b] [math]a[/math] [/b] is [b]negative.[/b]
Which variable [math]a[/math], [math]h[/math], or [math]k[/math] impacts the slope? What happens as this variable gets larger or smaller?
Do you agree with the following statement? Why or why not?[br][i]Every absolute value function will only output positive numbers.[/i]