Remember: f(x) and -f(x) are mirror images, reflected across the x-axis. f(x) and f(-x) are mirror images, reflected across the y-axis. f(x) and f(x) + c give the same image, shifted up or down. f(x) and f(x+c) five the same image, shifted left or right. Now! What type of thing happens with: y = log (x) and z = log (x+1) y = e^x and z = e^x + 1 y = x^2 and z = -x^2 y = x^2 and z = (-x)^2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 2SE: How is the logarithmic function f(x)=logb(x) related to the exponential function g(x)=bx ? Whatis...
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Remember:

f(x) and -f(x) are mirror images, reflected across the x-axis.


f(x) and f(-x) are mirror images, reflected across the y-axis.

f(x) and f(x) + c give the same image, shifted up or down.

f(x) and f(x+c) five the same image, shifted left or right.

Now!

What type of thing happens with:

y = log (x) and z = log (x+1)
y = e^x and z = e^x + 1
y = x^2 and z = -x^2
y = x^2 and z = (-x)^2

 

 

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