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Graph the given functions on a common screen. How are these graphs related?
$ y = 2^x $ , $ y = e^x $ , $ y = 5^x $ , $ y =20^x $
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00:50
Jeffrey Payo
Calculus 1 / AB
Calculus 2 / BC
Calculus 3
Chapter 1
Functions and Models
Section 4
Exponential Functions
Functions
Integration Techniques
Partial Derivatives
Functions of Several Variables
Oregon State University
Harvey Mudd College
University of Nottingham
Boston College
Lectures
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A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
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In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
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okay for this problem. We're using a graphing calculator and we're graphing The four functions. Why equals two to the X Y equals E to the X Y equals five to the X and y close 22 the X, and we're going to see how they compare. So for window dimensions, I'm going to go with X Man is negative. Five X max is 10. Wyman is negative 50 and why Max is 500 and window dimensions can vary. You can just play around with it until you find something you like. So let's take a look at these graphs. Okay? So minor color coded, which is really handy, and the blue one was why equals two to the X. The red one y equals each of the X. The black one y equals five to the X and the pink one y equals 22 the X. So they're all exponential growth. That's what they have in common because they have different bases, they have different steepness and they grow at different rates.
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