3 years ago

What is the range of the function f(x) = |x| – 3?

Mathematics

1 answer:

viva [34]3 years ago

5 0

The smallest y-value is -3 when x=0
[-3,∞)

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Use the given information to write an equation of a line that contains a slope of 4 and passes through (-2, -6). Write your answ

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$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-6})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)})\implies y+6=4(x+2)$

$y+6=4x+8\implies y=4x+2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$