Question

Graph functions f and g in the same rectangular coordinate system. Give the equation of the asymptote.
f left parenthesis x right parenthesis equals 2 Superscript x and g left parenthesis x right parenthesis equals 2 Superscript negative x
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Part 1
Compute the coordinates for f.
x
minus2
minus1
0
1
2
​f(x)
  
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​(Type integers or fractions. Simplify your​ answers.)

Answer 1

f(x) = 2^x

Using the given values of x, we can compute the corresponding values of f(x):

For x = -2, f(-2) = 2^-2 = 1/4

For x = -1, f(-1) = 2^-1 = 1/2

For x = 0, f(0) = 2^0 = 1

For x = 1, f(1) = 2^1 = 2

For x = 2, f(2) = 2^2 = 4

Coordinates for f are:

(-2, 1/4)
(-1, 1/2)
(0, 1)
(1, 2)
(2, 4)