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Maksim231197 [3]
3 years ago
13

Y=-2x²-8x-5 domain and range

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

Domain: All real numbers

Range: y≤3

Step-by-step explanation:

The given function is

y =  - 2 {x}^{2}  - 8x - 5

This is a polynomial function.

The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

y =  - 2( {x}^{2}  + 4x) - 5

y =  - 2( {x}^{2}  + 4x + 4) - 5 +  - 4 \times  - 2

y =  - 2( {x}  + 2)^{2} - 5 + 8

y =  - 2( {x}  + 2)^{2}  +  3

The maximum value is 3

The function turns downward, hence the range is:

y \leqslant 3

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Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.

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