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svlad2 [7]
3 years ago
7

Can you please find the domain and the range

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

  • domain: (-4, ∞)
  • range: [-4, ∞)

Step-by-step explanation:

The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).

__

The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).

__

Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.

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Answer Step-by-step explanation:

\huge\boxed{A)-1}

The~average~rate~of~change~of~the~given~quadratic~function~on~the interval~0 ≤ x ≤4 is~the~slope~of~the~secant~line~connecting~the~points~(0,f(0))~and~(4,f(4)).

The~average~rate~of~change~is:

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Now,from~the~graph,f(0)~is~0~and~f(4)~is~-4.

We~plug~in~these~values~to~obtain;

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And~then,this~simplifies~to:

=\frac{-4}{4}

which~is~obviously:

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Thus,~the~average~rate~of~change~for~the~given~quadratic~function whose~graph~is~shown~on~0 ≤ x ≤ 4~is~=-1.

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