Math

What is the domain and range fro the expentiral function f(x)=-2x4^x-1+3?

Domain:all real numbers
Range:all real numbers less than 3

Domain:all real numbers
Range:all real numbers greater than 3

Domain: all real numbers greater than-2
Range: all real numbers less than 3

Domain: all real numbers
Range: all real numbers

If the parent function is f(x) = (0.5)^x, which transformations are required for the graph of f(x) = (0.5)^x-3 - 2?


Translate 3 units right and 2 units up

Translate 3 units right and 2 units down

Translate 3 units left and 2 units up

Translate 3 units left and 2 units down

How do I figure something like this out... I'm lost once again

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  1. Assuming you meant

    f(x)=-2x*4^(x-1)+3
    the domain of all polynomials (-2x) is (-∞,∞)
    the domain of all exponentials is (-∞,∞)
    so, the domain of f(x) is likewise (-∞,∞)

    now work with the ranges in like wise.

    x -> (x-h) translates right by h
    y -> (y-k) translates up by k

    y = 0.5^(x-3) - 2 is also
    y-(-2) = 0.5^(x-3)

    so what do you think?

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  2. Thanks Mr.Steve!

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