Asked by Chris
For each of the functions below, state the domain and range, the restrictions, the intervals of increasing and decreasing, the roots, y-intercepts, and vertices.
a)
f(x)=2x(^2)−8
b)
f(x)=+√x-2
a)
f(x)=2x(^2)−8
b)
f(x)=+√x-2
Answers
Answered by
Steve
domain of all exponentials is (-∞,∞)
Range of a^x is (0,∞), so I'm sure you can adjust that as needed here.
you know that the domain of √x is [0,∞), so now you just have to adjust to make sure that x-2 >= 0.
As for the range, just recall that square roots are never negative.
Range of a^x is (0,∞), so I'm sure you can adjust that as needed here.
you know that the domain of √x is [0,∞), so now you just have to adjust to make sure that x-2 >= 0.
As for the range, just recall that square roots are never negative.
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