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Pani-rosa [81]
3 years ago
13

What is the domain and range of f(x)=2.5x when x goes up to 800

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

Domain:  all real numbers.  Range:  (-∞, 2000]

Step-by-step explanation:

f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial.  As such, its domain contains "all real numbers."  That value 800 defines the largest value that this f(x) can have:  f(800) = 2.5(800)  = 2000.  

Thus, the range is "all real numbers from -∞ through and including 2000."

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3 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

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