The function g is defined byg(𝑥)=16−𝑥2 0≤𝑥≤4Find the range of
Question
The function g is defined byg(𝑥)=16−𝑥2 0≤𝑥≤4Find the range of
Solution
The range of a function is the set of all possible output values (y-values) that you can get by plugging in the input values (x-values) into the function.
Given the function g(x) = 16 - x^2, where 0 ≤ x ≤ 4, we can find the range by plugging in the boundary values of x into the function.
First, let's plug in x = 0: g(0) = 16 - (0)^2 = 16
Next, let's plug in x = 4: g(4) = 16 - (4)^2 = 16 - 16 = 0
Since the function is a downward-opening parabola, it will reach its maximum value at x = 0 and its minimum value at x = 4.
Therefore, the range of the function g(x) = 16 - x^2 for 0 ≤ x ≤ 4 is 0 ≤ y ≤ 16.
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