Curve Sketching Steps Math

So it has a concave up shape.

Curve sketching steps math. Determine whether the function is even odd or neither and check the periodicity of the function. For a quadratic equation the y intercept is the point c. Curve showing portion with positive slope in pink and negative slope in green. Get step by step solutions to your curve sketching problems with easy to understand explanations of each step.

Y 0 2 5 0 0 this function s y intercept is at x 0. Or l then the line y l is a horizontal asymptote of the curve y f x. Find the vertical horizontal. Find the domain of the function and determine the points of discontinuity if any.

If it turns out that f x 00 or 00 then we do not have an asymptote to the right but this fact is still useful information for sketching the curve. Y x 2 5x set x to zero and solve. You will find it helpful to complete the step 2 calculus module first. Analyze f 0 x.

Finding points of. Let s put it all together. Here are some general curve sketching rules. F x x 3 6 x 2 9 x f x x 3 6x 2 9x f x x3 6x2.

Solve curve sketching problems with our curve sketching calculator and problem solver. Recall from section 1 5 that the line x a is a vertical. Step questions are challenging so don t worry if you get stuck. F x x 3 8 x 3 8 f x frac x 3 8 x 3 8 f x x3 8.

But some of the steps are closely related. Guide to curve sketching. The second derivative can tell us the shape of a curve at any point. To find the y intercept set x to zero and solve.

Put the critical numbers in a sign chart to see where the first derivative is positive or negative plug in the first derivative to get signs. These step 2 modules assume that you have already begun to develop your problem solving skills and approach to step questions by working on the. Find critical numbers numbers that make the first derivative 0 or undefined. This module introduces you to step questions which involve curve sketching.

Y ax 2 bx c. Math 147 c benjamin aurispa jessica tripode kendra kilmer 5 6 pulling it all together. This step 2 module consists of 4 step questions some topic notes and useful formulae a hints sheet and a solutions booklet. In the list below you ll see some steps grouped if they are based on similar methods.

Use the guidelines to sketch the graph of. Curve sketching step 1. Curve sketching using differentiation finding maxima and minima. Use the guidelines to sketch the graph of.

Create a sign chart for f 0 x and determine intervals of increasing decreasing and local extrema. You ll want to find where your graph crosses the y axis.