Question 768098
the domain, the range, the exact value of the intercepts and the asymptote of y=5^(x+1)-2
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Domain: All Real Numbers
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Range:: Y >= -2
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x-intercept = ?
Let y = 0 and solve for x:
5^(x+1) = 2
(x+1) = log(2)/log(5)
x+1 = 0.4307
x = -0.5693
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y-intercept = ?
Let x = 0 and solve for "y":
y= 5^(0+1)-2 = 3
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Asymptote:
y = -2
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{{{graph(400,400,-10,10,-10,10,5^(x+1)-2)}}}
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Cheers,
Stan H.