Smallest Range Value

**sharkman** · August 31st 2009, 06:06 AM

If the domain of g(x) = 1 - 5x is -3 ≤ x ≤ 2, what is the smallest range value of g(x)?

**ynj** · August 31st 2009, 07:19 AM

Originally Posted by sharkman

If the domain of g(x) = 1 - 5x is -3 ≤ x ≤ 2, what is the smallest range value of g(x)?

$1-5x\geq 1-5*2=-9$

**sharkman** · August 31st 2009, 07:49 AM

Originally Posted by ynj

$1-5x\geq 1-5*2=-9$

Can you please explain what you mean in words?

**mr fantastic** · August 31st 2009, 07:47 PM

Originally Posted by sharkman

If the domain of g(x) = 1 - 5x is -3 ≤ x ≤ 2, what is the smallest range value of g(x)?

It should be a straightforward business to draw the graph (a line) of y = 1 - 5x over the given domain and get the range from the y-coordinates of the endpoints. Where are you stuck?

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