73.8k views
3 votes
Factored Form : g(t)=(t-1) (t+1) (t+2). Standard Form: . C. Graph g(t) . Be sure to show x-intercept(s) . and behaviors. D. If the stock continued to grow forever, what would the price approach? Be sure to use the end behavior notation.

User NessDan
by
8.8k points

1 Answer

3 votes

Graph Below


\begin{gathered} t\rightarrow+\infty,\text{ g(t) }\rightarrow+\infty, \\ t\rightarrow-\infty,\text{ g(t)}\rightarrow-\infty \end{gathered}

t³+2t²+t-y=2 The Standard form.

1) Let's plot that function. And then analyze the graph. We need to set a table

for t and g(t) values.

As we can see the x-intercepts are x=-2, and x=1. As the behavior we have:

As t goes infinitely positive values then g(t) or y goes the same way. When t goes infinitely negative values, y or g(t) goes the same way:


\begin{gathered} t\rightarrow+\infty,\text{ g(t) }\rightarrow+\infty, \\ t\rightarrow-\infty,\text{ g(t)}\rightarrow-\infty \end{gathered}

As we can see in this sketch:

The standard form is obtained from the distribution of the factors, and rewriting it as ax+by = c:

g(t)=(t-1) (t+1) (t+2)

g(t) =t³+2t²-t-2

y=t³+2t²-t-2

-t³-2t²-t+y =2

t³+2t²+t-y=2

Factored Form : g(t)=(t-1) (t+1) (t+2). Standard Form: . C. Graph g(t) . Be sure to-example-1
Factored Form : g(t)=(t-1) (t+1) (t+2). Standard Form: . C. Graph g(t) . Be sure to-example-2
User Darshan Sawardekar
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories