2 years ago

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Mathematics

1 answer:

kifflom [539]2 years ago

3 0

Answer:

blue or maybe green try purple

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A catapult launches a boulder with an upward velocity of 92 m/s. the height of the boulder, h, in meters after t seconds is give

omeli [17]

Check the picture below.

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
h=\stackrel{\stackrel{a}{\downarrow }}{-5}t^2\stackrel{\stackrel{b}{\downarrow }}{+92}t\stackrel{\stackrel{c}{\downarrow }}{+16}
\qquad \qquad 
\left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{92}{2(-5)}~~,~~16-\cfrac{92^2}{4(-5)} \right)\implies \left(\cfrac{46}{5}~~,~~16+\cfrac{2116}{5} \right)
\\\\\\
\left(\cfrac{46}{5}~~,~~\cfrac{2196}{5} \right)\implies \left(\stackrel{\textit{how long it took}}{9\frac{1}{5}}~~,~~\stackrel{\textit{how high it went}}{439\frac{1}{5}} \right)$