Determine the domain and range of the given function.

Mathematics

1 answer:

Illusion [34]2 years ago

5 0

The domain can be any value between (-∞,∞) , all real numbers , The range is all real numbers greater than or equal to -2

<h3>What is a function ?</h3>

A function is a mathematical statement that relates independent variable and dependent variable , It has a defined range and domain.

Domain is the set of all the input values

Range is the set of all the assumed output values

To determine the domain and range of the given function

The given function is a vertical parabola ,

The vertex is at (-2,-2)

The domain can be any value between (-∞,∞) , all real numbers.

The range is the interval------> [-2,∞)

The range is all real numbers greater than or equal to -2

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A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt

DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.