Problemas
Graph, Then state the y-intercept, Common Ratio, Growth/Decay Doma y=2(4)^x Answer Attemptiout of 99 y - intercept: square Common Ratio: 4 Growth or Decay: square Domain: square v Range: square Asymptote: square
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José
maestro · Tutor durante 5 años
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To graph the function
, we can start by plotting a few points and then connect them to form a curve.Let's choose some values for
and calculate the corresponding
values:When
,
When
,
When
,
Now, let's plot these points on a coordinate plane and connect them to form a curve.The y-intercept is the point where the curve intersects the y-axis. In this case, the y-intercept is
.The common ratio is the factor by which each term is multiplied to get the next term. In this case, the common ratio is 4.Since the base of the exponent (4) is greater than 1, the function represents exponential growth.The domain of the function is the set of all possible values of
. In this case, the domain is all real numbers, or
.The range of the function is the set of all possible values of
. In this case, the range is
.The asymptote is a line that the curve approaches but never touches. In this case, the horizontal asymptote is the x-axis, or
.So, the final answers are:y-intercept:
Common Ratio: 4Growth or Decay: GrowthDomain:
Range:
Asymptote: