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The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Sagot :

Lublanaidn

Answer:

[tex](-\infty,b][/tex]

Step-by-step explanation:

We are given that

f(x)=|x|

The range of f(x) is [tex]y\geq 0[/tex]

If a<0 and b is not equal to 0

g(x)=a|x|+b

We have to find the range of g.

Substitute x=0

g(0)=b

Substitute x=10

Then, g(10)=10a+b

Where a is negative

The range of g(x) is [tex](-\infty,b][/tex]

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