Question

Which of the following accurately shows the range of the function defined below?
f(x)=3, x<0
x^2+2, 0 1 /2x + 5, x>2
Answer choices:
(3,∞)
[2, ∞)
[3, 6]
(-∞, ∞)

Answer 1

Answer:

3,infinity

Step-by-step explanation:

Answer 2

The range of the given piecewise function is [2, ∞)

Which option describes the range of the given function?

Here we have a piecewise function:

f(x) = 3    if   x < 0.

f(x) = x² + 2   0 ≤ x ≤ 2

f(x) = x + 5  if    x > 2.

So, the minimum value of the function is f(0) = 2 (where we use the second part).

And as x tends to infinity, we need to use the last part, such that:

f(x ⇒∞) = ∞ + 5 = ∞

Then the range of the function is:

[2, ∞)

If you want to learn more about range:

https://brainly.com/question/2264373

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