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guajiro [1.7K]
3 years ago
8

Write the range of f(x) in all three notations if the domain is -2 < x < 6 . f(x)=x+3f(x)=x+3

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = {f(x)| 1 < f(x) < 9}

Step-by-step explanation:

The given function is

f(x)=x+3

We need to find the range of f(x) for the domain -2 < x < 6 .

At x=-2,

f(-2)=-2+3=1

At x=6,

f(6)=6+3=9

So, the range of the function is 1 < f(x) < 9. It can be written as

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = {f(x)| 1 < f(x) < 9}

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