SOLUTION: 1. For the functions f(x) = 2^x and g(x) = 3^x :
a) What are the Domains and Ranges of these functions?
b) What point(s) do they have in common and why?
c) Starting with y
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Question 1194666: 1. For the functions f(x) = 2^x and g(x) = 3^x :
a) What are the Domains and Ranges of these functions?
b) What point(s) do they have in common and why?
c) Starting with y = 2^x, what would y = 2^x+4 - 3 look like in comparison to y = 2^x?
d) How does y=(1/2)^x look in relation to y = 2^x? Why is this?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
1. For the functions
and
a) What are the Domains and Ranges of these functions?
for :
domain : (all real numbers)
range: { element : } (all positive real numbers)
for :
domain : (all real numbers)
range: { element : } (all positive real numbers)
b) What point(s) do they have in common and why?
points where
........ since the bases are different, equation will be true only if
c) Starting with , what would look like in comparison to ?
Parent Function:
Horizontal Shift: Left , units
Vertical Shift: Down , units
d) How does look in relation to ? Why is this?
these are inverse to each other
since -> which is inverse to
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