If you horizontally compress exponential function f(x)=2^x by a factor by a of 5, which of these is the equation of the new func
tion?
2 answers:
Answer: A.
Step-by-step explanation:
When we compress a function by a scale factor of 'k', where k >1, then the function after compression will become :
, where k>1
Given: Exponential function:
The scale factor of the compression (k): 5
Then after horizontally compression , the exponential function will become :
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Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:
Applying the following property of exponentials numbers in (II):
Therefore can be written as
Replacing (I) in the previous equation:
Solving for k:
Subtracting 190 both sides, dividing by -76:
Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:
Dividing by 0.5
A=152