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Math 142- TAMU Allen Questions and Answers Fully Solved
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Math 142- TAMU Allen
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Math 142- TAMU Allensec 1.3: compound interest formula (it is non-continually) - answerF=P(1+r/m)^mt
sec 1.3: continuously compounded interest - answerF=Pe^rt
sec 1.3: properties of an exponential function-
-domain:....?
-range:...?
-x axis is the....?
-are there any holes or jumps?
-passes through which point?
-if b>1 the function (increases/decreases) as x→∞..this is (growth/decay) ??
-if 0>b>1 the function (increases/decreases) as x→∞ ...this is (growth/decay) ?? -
answerdomain: (-infinity. infinity)
-range: (0, infinity)
-x axis is the horizontal asymtote
-are there any holes or jumps? NO
-passes through which point? (0,1)
-if b>1 the function (increases) as x→infinity ..this is (growth)
-if 0>b>1 the function (decreases) as x→infinity ...this is (decay)
sec 3.1: for a two sided limit to exist, limit from the left and limit from the right must both
exist and be equal to a real number, Limit cannot equal infinity. - answer
sec 3.1: existence o f a limit at x=c has nothing to do with the function value at c. even if
limit there, doesn't mean a function exist there. - answer
sec 3.1: find lim (x^2+4)/(5-3x)
x→-2 - answernot piecewise so just plug in! answer = 8/11
sec 3.1: find lim {2x if x≥-1
x→-1 { x^2 +3 if x<-1 - answercheck cuttoff from left and from right. if they do not equal
each other then DNE.
sec 3.1: indeterminate form - answer0/0
sec 3.1: vertical asymotote - answer#/0 =DNE
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