Order Id 910319 # 8 Given𝑓(𝑥)= {𝑥+ 1,−2 < 𝑥 < 3 −𝑥,𝑥 ≥3 Plot x+1 from point -2 to 3: x+1 is a straight line with m=1, and y-intercept =1 x-2-10123 f(x)=x+1-101234 Plot f(x)=-x from poin 3 to ∞: The graph is a straight line with m=-1 any y-intercept=0 x3410 f(x)=-x-3-4-10 #12
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If𝐻(𝑥)= √5𝑥2−3𝑥 3 𝐻(𝑥)=(𝑓 ∘ 𝑔)(𝑥), then𝑓(𝑥)=√𝑥 3𝑎𝑛𝑑 𝑔(𝑥)= 5𝑥2−3𝑥 #21-24 is done using the figure below From the graph,𝑦=(𝑥+ 2)(𝑥 −2)(𝑥 4), from the figure, the following can be deduced: #21: intervals is the function increasing (−∞, −1.155) ∪ (1.155, ∞) #22: intervals is the function decreasing (−1.155, 1.155) #23: local minimum of the function (1.155, −0.77) #24: local maximum of the function (−1.155, 0.77)