Consider the functions f(x) = and g(x) = + 6. What are the ranges of the two functions?
2 answers:
The correct question in the attached figure
we have that
<span>f(x) = (4/5)^x
g(x) = (4/5)^x + 6
using a graph tool
see the attached figure
we know that
f(x) </span>has the horizontal asymptote y = 0
g(x) has the horizontal asymptote y = 6
therefore
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)
the answer is
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)
see the attached figure
we have that
<span>f(x) = (4/5)^x
g(x) = (4/5)^x + 6
using a graph tool
see the attached figure
we know that
f(x) </span>has the horizontal asymptote y = 0
g(x) has the horizontal asymptote y = 6
therefore
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)
the answer is
the range of f(x) is the interval (0,∞)
the range of g(x) is the interval (6,∞)
see the attached figure
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The figure shown below graphs the inequalities
y ≤ 2x + 1
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y ≤ 2x + 1
y > -2x - 3
The shaded area shows the solution region.