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Greetings, Sketch the graph of the function with the following properties: f(0)=

ID: 2847702 • Letter: G

Question

Greetings,

Sketch the graph of the function with the following properties: f(0)=6, f(2)=1, f(4)=-2, f'(0)=1, f'(2)=0, f'(4)=-3



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It is of course multiple choice and either 1,2,3 or 4. Any help is appreciated. Thanks!

sketch the graph of a function with the following properties: f(0) 0, f(2) 1, f(4) -2, f (0) -1, /2)-0, f (4) and 1 2 4 5 a graph on the coordinate axis, with the x-axis extending from negative 1 to positive 5 and y-axis extending from negative 4 to positive 5; a curve increasing from lower left of the graph to approximately the point negative 1 and half, 1, then the curve decreasing to lower right of the graph, the graph passes through the points, 0,0; 3,0; and 4. negative 2

Explanation / Answer

f '(0)=1 and f '(2) is only satisfied by 2nd graph.

Hence 2nd option is the answer.

where f '(0) and f '(2) means slope at 0 and 1 respectively.

f '(2) =0 means the function's slope is 0 at 2, that's graph is horizontal, only 2nd graph satisfies that. Hence 2nd option.