Chapter 6 Exponential and Logarithmic Functions

Chapter 6 Using Technology

Using Desmos to graph Exponential and Logarithmic Equations

Example from 6.2 Graphing Exponential Functions

Sketching the Graph of an Exponential Function of the Form f(x) = bx

Sketch a graph of[latex]\,f\left(x\right)={0.25}^{x}.\,[/latex]

Show Solution

Type the equation into Desmos. y = 0.25,  [latex]\boxed {a^{b}}[/latex], (x)

Graph of a decreasing exponential function.

This Desmos matches the graph in Figure 4.

Graph of the decaying exponential function f(x) = 0.25^x with labeled points at (-1, 4), (0, 1), and (1, 0.25).
Figure 4

 

Back to Section 6.2

Example from 6.4 Graphing Logarithmic Functions

Graphing a Logarithmic Function of the Form f(x) = logb(x)

Graph[latex]\,f\left(x\right)={\mathrm{log}}_{5}\left(x\right).\,[/latex]

Show Solution

Type the equation into Desmos. y = [latex]\boxed {functions}[/latex], CALCULUS, [latex]\boxed {log_a}[/latex], (x)

Graph of log base 5 of x.

This Desmos graph matches the graph in Figure 5.

Graph of f(x)=log_5(x) with labeled points at (1, 0) and (5, 1). The y-axis is the asymptote.
Figure 5

Back to Section 6.4

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