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Attached are 12 function graphs, 12 derivative graphs and descriptions for each. Move the puzzle pieces to match the function with its derivative and their
Attached are 12 function graphs, 12 derivative graphs and descriptions for each. Move the puzzle pieces to match the function with its derivative and their descriptions. The first one has been done for you.
Function Description of function Derivative Description of derivative DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This function is decreasing when This derivative graph is a line that has a x S 4, and increasing when x 2 4. positive slope. $7 D10 d12 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE The equation for this function is a The graph of this derivative is not positive quadratic with only one distinct root for all x in [-3, 3], and is symmetric to the y-axis. D3 d3 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is the graph of a This derivative graph is always greater or linear function. equal to zero. d4 14 D4 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE function, with a positive leading This derivative graph is a quadratic with coefficient and two stationary points. a negative leading coefficient. f5 D5 d5 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is a function that is decreasing This derivative graph has a horizontal on the interval [-3.3] and increasing asymptote and passes through the elsewhere. origin. 16 D6 do DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is a cubic function with a single This derivative function is always stationary point. increasing yet remains negative. D7 d7 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is a function with a positive This derivative graph has a constant leading coefficient and two stationary negative slope. points. D8 d8 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is an function with three turning This derivative graph forms a line with a points. gradient of zero. 19 D9 d9 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This function has a maximum at x=0 and This derivative is function with a horizontal asymptote of y=0. two turning points and is decreasing between these two points. F10 f10 D2 d10 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This function is always decreasing and is This derivative graph is a parabola with asymptotic to the horizontal axis. an axis of symmetry at x=1. f11 F11 D11 d11 DESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This function is always increasing and is This derivative function has zeros at never negative. x=-2, 1 and 3. F12 f12 D12 daDESCRIPTION OF FUNCTION DESCRIPTION OF DERIVATIVE This is an function with two This derivative graph has an always stationary points and is increasing positive and increasing slope. between these two points. f1 D1Step by Step Solution
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