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skad [1K]
2 years ago
5

Find the rate of change of the linear function shown in the graph. Then find the initial value.

Mathematics
1 answer:
EastWind [94]2 years ago
3 0

rate of change is change in y / change in x


(-1 - -3)/ (0 - -6) = 2/6 = 1/3


initial value is the y value when x is 0 , which is -1

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Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

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Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

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