Question 1206068: Find the domain and range of the function. (Enter your answers using interval notation.)
f(x) = 2x, −5 ≤ x ≤ 7
Answer by ikleyn(52794)   (Show Source):
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The domain is this GIVEN interval -5 <= x <= 7 from -5 to 7, inclusive.
In the interval form, it is the set [-5,7].
The function f(x) = 2x is a linear function, monotonically increasing.
Therefore, its range is the interval between f(-5) = 2*(-5) = -10 and f(7) = 2*7 = 14.
ANSWER. The domain is the interval [-5,7]. The range is the interval [-10,14].
Solved, with explanations.
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