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dsp73
3 years ago
5

Identify the domain of the function shown in the graph.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

For this case, we find the equation of the line, for this we look for points where the line passes:

(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)

We found the slope:

m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}

Thus, the equation of the line is:

y = \frac {1} {2} x + b

We substitute a point to find "b":

0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1

Finally:

y = \frac {1} {2} x + 1

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

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3 years ago
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
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