For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. Include a table of values for all four functions.

Question

Could someone please explain to me what occurs when things are halved.

Answer 1

e^x becomes e^(x/2) is x is halved

ln x becomes ln(x/2) is x is halved.

Start out with x = 4 and compare what you get with x = 2 and x = 1.
ln4 = 1.386
ln2 = 0.693
ln1 = 0
Each time x doubles, ln x increases by 0.693
e^4 = 54.60
e^2 = 7.389
e^1 = e = 2.718
Each time x doubles, e^x gets squared.

Answer 2

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