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Need shown work on how they got these answers! (Confused)

 May 23, 2018
 #1
avatar+9519 
+1

Minimum value of f(x) = |0| - 4 = -4

Maximum is +infinity.

Therefore the range of f(x) is [-4,+infinity).

And the graph looks like this: https://www.desmos.com/calculator/y2wyt5oh1u

 

g(x) = x^2 + 2x - 3 = (x+1)^2 - 4

Min value of g(x) also equals -4, and max value is also +infinity.

Therefore g(x) is one of the answers.

 

k(x) = sqrt(x) - 4.

Min value = sqrt(0) - 4 = -4

Max value is also +infinity.

Therefore k(x) is the other answer.

 

 And the graphs of g(x) and k(x) look like this: https://www.desmos.com/calculator/sjurr0goyx

 May 24, 2018

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