Question 871822: Solve each function. Determine the domain and find all intercepts and asymptotes that exist.
abs: absolute value
abs[2^(x+1)-8]=4
Thanks
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Solve each function. Determine the domain and find all intercepts and asymptotes that exist.
abs: absolute value
abs[2^(x+1)-8]=4
***
solve for x under 2 conditions:
2^(x+1)-8=4
2^(x+1)=12
(x+1)log(2)=log(12)
x+1=log(12)/log(2)
x=log(12)/log(2)-1
x≈2.584…
Domain: (all real numbers)
y-intercept: (0,-10)
x-intercept: (2.54,0)
..
2^(x+1)-8=-4
2^(x+1)=4
(x+1)log(2)=log(4)
x+1=log(4)/log(2)
x=log(4)/log(2)-1
x=1
Domain: (all real numbers)
y-intercept: (0,-2)
x-intercept: (1,0)
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