Answered: Graph the following functions. y =…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 452PT: Graph the function g(x)=2x3.

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Question

Graph the following functions.

y = 10(2^-x)

Expert Solution

Step 1

Consider the given function $y = 10 (2^{- x})$ .

Use different value of x and create a table of values of $y = 10 (2^{- x})$ as follows.

x	$y = 10 (2^{- x})$
$- 2$	$\begin{array}{rcl} y & = & 10 (2^{- (- 2)}) \\ = & 10 (2^{2}) \\ = & 10 (4) \\ = & 40 \end{array}$
$- 1$	$\begin{array}{rcl} y & = & 10 (2^{- (- 1)}) \\ = & 10 (2^{1}) \\ = & 10 (2) \\ = & 20 \end{array}$
0	$\begin{array}{rcl} y & = & 10 (2^{- (0)}) \\ = & 10 (2^{0}) \\ = & 10 (1) \\ = & 10 \end{array}$
1	$\begin{array}{rcl} y & = & 10 (2^{- 1}) \\ = & 10 (\frac{1}{2}) \\ = & 5 \end{array}$
2	$\begin{array}{rcl} y & = & 10 (2^{- 2}) \\ = & 10 (\frac{1}{4}) \\ = & \frac{5}{2} \end{array}$

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