given the graph of the function shown below.

which of the following options best represents the range of the function? (-∞, ∞)[-1, ∞∞, -1](-∞, 1]

The options which best represents the range of the function is:

                   [-1,∞)

Domain of a function--

The domain of a function is the set of all the possible x -values of a function for which the function is defined.

and Range of a function--

Is the set of all the values which are attained by a function in it's domain.

By looking at the graph of a function we see that the function is defined for all the real values and in this domain the function attains a minimum values as -1.

The function is first strictly decreasing in the interval (-∞,1)

and then it is strictly increasing in the interval (1,∞).

Hence, the function receives all the value greater than or equal to -1.

i.e. The range of the function is: [-1,∞)

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer:

c) the x-coordinate of the center of the circle increases by 3