Create a table of values for the function f(x) = (1/3)^–x
1 answer:
Answer:
See the explanation
Step-by-step explanation:
The function given to us is:
f(x) = (1/3)⁻ˣ
We can convert the negative power into positive one by interchanging the numerator and denominator.
f(x) = (3/1)ˣ
f(x) = 3ˣ
Substitute value for x= -3 , -2, -1, 0, 1, 2, 3
f(-3) = 3⁻³ = 0.037
f(-2) = 3⁻² = 0.111
f(-1) = 3⁻¹ = 0.333
f(0) = 3⁰ = 1
f(1) = 3¹ = 3
f(2) = 3² = 9
f(3) = 3³ = 27
f(4) = 3⁴ = 81
and so on
The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.
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Answer:
0.6
Step-by-step explanation:
The x increases by 5, while y increases by 3
Lets use the method, which is .
Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.
So plug the numbers in.
0.6
Hence, the constant proportionality is 0.6.