For a particular g(x), lim as h approaches 0 is [g(a+h)-g(a)]/h = 2a-3 for any a. Part a said what is the slope of the tangent of g(x) when a=1 and part b said what is the slope of the tangent of g(x) when a=5. I got -1 and 7 respectively. Just plug a into 2a-3. Part c says that ," Given our results from parts a and b, the intermediate value theorem tells us that the tangent to the graph of g(x) must be horizontal over some interval . Explain. Can someone help me. I don't know the answer

Question

For a particular g(x), lim as h approaches 0 is [g(a+h)-g(a)]/h  = 2a-3 for any a.   Part a said what is the slope of the tangent of g(x) when a=1 and part b said what is the slope of the tangent of g(x) when a=5. I got -1 and 7 respectively. Just plug a into 2a-3. Part c says that ," Given our results from parts a and b, the intermediate value theorem tells us that the tangent to the graph of g(x) must be horizontal over some interval . Explain.            Can someone help me. I don't know the answer

anonymous · Answer

Can anyone help?