Curve Analysis: Intersections, Symmetry, and Asymptotes

Intersection of a Curve with Coordinate Axes

To find where a curve intersects the coordinate axes (i.e., the points where it crosses the axes), substitute one of the variables representing an axis with zero. Then, solve the resulting equation to find the values where the curve intersects that axis. Repeat this process for the other axis.

Example

Determine the points where the curve intersects the x and y axes. Identify the type of curve it represents.

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StepsProcedure

Identify the type of curve:

By observing

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Understanding Standard Normal Distribution and Statistical Analysis

Understanding the Standard Normal Curve

Finding the Area Under the Standard Normal Curve

1. Find the area under the standard normal curve to the left of z = -1.32 (Go to the z-table and find the corresponding value).

2. Find the area under the standard normal curve to the left of z = 1.49, P(Z < 1.49) (Use the z-table, find the value corresponding to the positive z-score, and draw a line to the left).

3. Find the area under the standard normal curve between z = -1.65 and z = 1.65, P(-1.65 < Z

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