Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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.

image text in transcribedimage text in transcribed
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 D1

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Bicomplex Holomorphic Functions The Algebra, Geometry And Analysis Of Bicomplex Numbers

Authors: M Elena Luna Elizarrarás, Michael Shapiro, Daniele C Struppa, Adrian Vajiac

1st Edition

3319248685, 9783319248684

More Books

Students also viewed these Mathematics questions

Question

Which event model does Flash use?

Answered: 1 week ago