Question

HURRY PLS ,

What is the range of A piecewise function g of x, where part 1 is x squared minus 5 for x less than negative 3 and part 2 is 2 times x for x greater than or equal to negative 3.?

(–∞, ∞)
[–6, ∞)
[–5, ∞)
[5, ∞)

Answer 1

B)
`[-6,\infty)`

Explanation:

The given piecewise function is
`\displaystyle g(x)=\left \{ {{x^2-5,\,x < -3} \atop {2x,\,x\geq-3}} \right.`

Since
`2(-3) < (-3)^2-5`, then the range is
`[-6,\infty)`.