Let g(x) be a function where g(0)=0, g(2)=0 and g'(4)=0. Which of the following is a possible graph of g(x)? (I have attached an image of the graphs) First, I immediately elimnated choice C) because g(0) isnt 0. I dont really get what that little apostrophe means in g'(4)=0. Is that like the derivative? If someone can please explain this to me, Id appreciate it. thanks!
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Graphs of function g(x)
- Thread starter kris17
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Deleted member 4993
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Let g(x) be a function where g(0)=0, g(2)=0 and g'(4)=0. Which of the following is a possible graph of g(x)? (I have attached an image of the graphs) First, I immediately elimnated choice C) because g(0) isnt 0. I dont really get what that little apostrophe means in g'(4)=0. Is that like the derivative? If someone can please explain this to me, Id appreciate it. thanks!
Yes......\(\displaystyle g'(x) = dg(x)/dx\)
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Deleted member 4993
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How exactly would I find the graphs derivative? I am able to only graph 2 points (0,0) and (2,0), so I don't know how I find what g'(4). Would I first need to know what g(4) is? Or what would be my first step?
Do you know the relationship between
the derivative of a function at a given point
and
the slope of the tangent line (of the graph of the given function) at that point.