Curve sketching worksheet pdf

Find the points of inflection, if any, and determine concavity of curve. Calculus plays a much smaller part in curve sketching than is commonly believed. Sketching trigonometric graphs 2 plotting the points from the table. Sketching curves you might have wondered, why bother learning how to sketch curves using calculus if i can just plug the equation into a computer and see the graph.

Use first and second derivatives to make a rough sketch of the graph of a function f x. Calculus 1 tutor worksheet 8 curve sketching using derivatives. Curve sketching general guidelines 1 domain of fx 2 intercepts 3 asymptotes a horizontal asymptotes lim x. Answers calculus 1 tutor worksheet 8 curve sketching using derivatives. With a partner or two and without the use of a graphing calculator, attempt to sketch the graphs of the following functions. Maths 101 worksheet university of bahrain department of mathematics maths101. Domain, intercepts, and asymptotes curve sketching example. Notes,whiteboard,whiteboard page,notebook software,notebook, pdf,smart,smart technologies ulc,smart board interactive whiteboard created date. The worksheets in this packet focus on the sketching of graphs. Curve sketching using calculus the university of sydney.

Determine if each function is increasing or decreasing. Be sure to list the domain and range, intercepts, the equation of any asymptotes, intervals of increasingdecrease. Infinite calculus curve sketching rational functions. If your students need practice with the algebraic portion of the curve sketching process, see my cal. Compute some points on the curve, especially any that are easy to calculate.

Using this information, sketch the graph of the function. To see the text of an eks, hover your pointer over the standard. Determine critical points on the graph of f from the graph of f d. Recall that maxima occur when the first derivative equals zero on the. Curve sketching worksheet november 7, 2012 techniques for carefully sketching functions when sketching a graph of a function fx, you want to clearly indicate all the important features of the function, including.

L5 curve sketching sketch the graph of various polynomial and rational functions using the algorithm for curve sketching b1. As you will recall, the first derivative of a function gives you the slope, which can tell you whether the function is increasing, decreasing, or leveled off. Find all the xcoordinates at which f x has a relative maximum. In this packet, you will find 5 worksheets that will help students analyze and write about functions and their derivatives. Chapter 3 quadratic curves, quadric surfaces inthischapterwebeginourstudyofcurvedsurfaces. But it could happen that you dont actually have a neat formula for the function youre trying to graph.

Find the critical points of f and determine if they are maxima or minima using the second derivative test. Sketch the following curves, indicating maximum and minimum points and points of inflection. Find points with f00x 0 and mark sign of f00x on number line. Infinite calculus curve sketching worksheet created date. Worksheet 10 increasingdecreasing, concavity, and curve sketching. Determine the intercepts and asymptotes of each graph. Calculus curve sketching this packet contains 5 worksheets that you can use to help students work on the concept of curve sketching. Pertinent aspects of the graph to include include as many as you can. Curve sketching practice with a partner or two and without the use of a graphing calculator, attempt to sketch the graphs of the following functions. Curve sketching worksheet northern kentucky university. Worksheet by kuta software llc calculus curve sketching practice. Identify the xcoordinates for the candidates of the absolute minimum. Curve sketching handoutworksheet let us put together all the information we have learned to help us sketch graphs. To carefully sketch k, we need to clearly indicate all the important features of the function, including.

Curve sketching comparing a function and its derivatives motion along a line related rates differentials. No vertical asymptotes because fx continuous for all x. Symmetry f x fx implies that fx is an even function and symmetric about the yaxis, f x fx implies that fx is an odd function and symmetric. To access practice worksheets aligned to the college boards ap calculus curriculum framework, click on the essential knowledge. This handout contains three curve sketching problems worked out completely. Unit 2 pretest curve sketching mcv4u jensen 1 find the increasing and decreasing intervals for each function.

Worksheet by kuta software llc calculus practice 2. Discuss the following curve with respect to concavity and in. Worksheet math 124 week 9 eusing all the information above, and your answers to the questions, sketch a graph of pt on the plane below. Increasingdecreasing, concavity, and curve sketching 1. Free calculus worksheets created with infinite calculus. Y u ba ql yl9 irmiwgth1tes m srdews3e 0r vv vebd e.

Curve sketching worksheet fill online, printable, fillable, blank. Intercepts f0, and those values of x the roots such that fx0 4. Sketch the curve sketch asymptotes as dashed lines. Symmetry f x fx implies that fx is an even function and symmetric about the yaxis, f x fx implies that fx is an odd function and symmetric about the origin. The graph also neednt be as symmetric as the one above, as long as the bug always stays. In each worksheet i have given the students a graph and approximately 10 words that must be used in a paragraph about the given situation. Determine maximumsminimums on the graph of f from graph of f e. The following steps may be helpful in sketching a general polynomial. Worksheet by kuta software llc precalculus worksheet section 2. A local maximum point on a function is a point x, y on the graph of the function. Curve sketching general guidelines 1 domain of fx 2 intercepts 3 asymptotes a horizontal asymptotes lim.