Alison C.

asked • 10/23/22

Find x and y intercepts, values of x where f(x) is more / less than zero

Let f(x)=(x−6)^2(x+5)^3. Find the y-intercept(s), the x-intercept(s), the values of x where f(x)>0, and the values of x where f(x)<0. Do not sketch the graph.

1. Find the y-intercept(s). List your answers as points in the form (a,b). 

Answer (separate by commas): 

2. Find the x-intercept(s). List your answers as points in the form (a,b). 

Answer (separate by commas): 

3. What are the values of x where  f(x)>0? 

Answer (in interval notation): 

4. What are the values of x where  f(x)<0? 

Answer (in interval notation): 



Doug C.

The y-intercepts are found by setting x=0. The x-intercepts happen when y = 0. Are you able to answer parts 1 and 2 based on that? Do you understand how to might determine answers for 3 and 4?
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10/23/22

Brenda D.

tutor
Upvote to Doug C’s question, I have another question while your instructions say not to sketch the graph, I must wonder if that only means not to sketch it as part of your answer? I ask because you should be able to sketch it later elsewhere to check and confirm your work. I get the impression that the question wants you to use info from class, your text and previous knowledge like algebra to determine your points then use appropriate interval notation instead of graphing first and copying the points off the graph.
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10/24/22

1 Expert Answer

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Doug C. answered • 10/23/22

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