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Sedbober [7]
3 years ago
6

Algebra 1. Question 13

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Hello!

The domain is the set of all possible x-values which will make the function true, and will output real y-values. Filled in points make the function true, and is written as ≤, but open circles, will make the function false and is written as just a less than symbol (<).

In this case, the ordered pair (-5, -2) is part of our domain, while the ordered pair (4, 1) is not because it is an open circle.

Therefore, the domain of the function is -5 ≤ x < 4, [-5, 4), {x | -5 ≤ x < 4}.

The range is the y-values of the function. In this case, the point (1, -4) is part of our range is also the minimum y-value, -4. The maximum y-value is the vertex of the parabola (the curve), and is the ordered pair, (-2, 3).

Therefore, the range of the function is -4 ≤ y ≤ 3, [-4, 3], {y | -4 ≤ y ≤ 3}.

Note: I wrote the domain and range in three ways because it doesn't specify which way to write it.

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y = - \frac{1}{2} x - 34

the equation of a line in slope-intercept form is

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to calculate m use the gradient formula

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m = \frac{-34-0}{0+68} = \frac{-34}{68} = - \frac{1}{2}

the y-intercept = (0, - 34 ) ⇒ c = - 34

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