Math  /  Algebra

QuestionDetermine the domain, range, intervals of increase/decrease, x-intercepts, and y-intercept for f(x)=2x+36f(x)=2|x+3|-6.

Studdy Solution
olving for f(0)f(0) gives usf(0)=2(3)6=0f(0)=2(3)-6=0So, the y-intercept is y=0y=0.
In conclusion, the domain of the function is (,)(-\infty, \infty), the range is [6,)[-6, \infty), the function is increasing on [3,)[-3, \infty) and decreasing on (,3)(-\infty, -3), the x-intercepts are x=0x=0 and x=6x=-6, and the y-intercept is y=0y=0.

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