Explore how the values change when you move the PE reference line
Added by Katherine J.
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It typically represents the average PE ratio of a specific market or sector. Show more…
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Key Concepts
Recommended Videos
Ask your instructor if the applet below is of interest to you.Slope Open the slope applet. Move point B around the Cartesian plane with your mouse. (a) Move B to the point whose coordinates are $(2,7)$. What is the slope of the line? (b) Move B to the point whose coordinates are ( $3,6$ ). What is the slope of the line? (c) Move B to the point whose coordinates are $(4,5)$. What is the slope of the line? (d) Move B to the point whose coordinates are $(4,4)$. What is the slope of the line? (e) Move B to the point whose coordinates are (4,1). What is the slope of the line? (f) Move $\mathrm{B}$ to the point whose coordinates are $(3,-2) .$ What is the slope of the line? (g) Slowly move B to a point whose $x$ -coordinate is 1. What happens to the value of the slope as the $x$ -coordinate approaches 1? (h) What can be said about a line whose slope is positive? What can be said about a line whose slope is negative? What can be said about a line whose slope is $0 ?$ (i) Consider the results of parts (a)-(c). What can be said about the steepness of a line with positive slope as its slope increases? ( j ) Move B to the point whose coordinates are ( $3,5$ ). What is the slope of the line? Move B to the point whose coordinates are $(5,6) .$ What is the slope of the line? Move B to the point whose coordinates are $(-1,3) .$ What is the slope of the line?
Graphs
Lines
Plot the functions $f(x)=\left(1+\frac{1}{x}\right)^{x}, g(x)=\left(1-\frac{1}{x}\right)^{x},$ and $h(x)=\left(1-\frac{2}{x}\right)^{x}$ in the same viewing screen. Compare their horizontal asymptotes as $x$ increases. What can you say about the function values of $f, g$, and $h$ in terms of the powers of $e$ as $x$ increases?
Exponential and Logarithmic Functions
EXPONENTIAL FUNCTIONS AND THEIR GRAPHS
Locate the line on the graph that represents $\mathrm{PCs}$. Repeat parts (a)-(c) of Exercise 79 .
Linear Equations in Two Variables
The Slope of a line
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