summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y =…
summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). f(x)=2x(x - 3)^3 what is the domain of the function? select the correct choice below and, if necessary, fill in the answer box to complete your choice. the domain is (-∞,∞). (type your answer in interval notation. use a comma to separate answers as needed.) what is the y - intercept? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the y - intercept is y = 0. b. there is no y - intercept. what is/are the x - intercept(s)? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the x - intercept(s) is/are x =. (simplify your answer. use a comma to separate answers as needed.) b. there is no x - intercept.
Answer
Explanation:
Step1: Find x - intercepts
Set $y = f(x)=0$, so $2x(x - 3)^{3}=0$. By the zero - product property, if $ab = 0$, then either $a = 0$ or $b = 0$. Here, $2x=0$ gives $x = 0$ and $(x - 3)^{3}=0$ gives $x=3$.
Step2: Conclusion for x - intercepts
The x - intercepts are the values of $x$ that make $y = 0$.
Answer:
A. The x - intercept(s) is/are $x = 0,3$