What is the equation of the function graphed below?Question 2Answera.⎧⎩⎨⎪⎪𝑥+41−2𝑥+3 if −5<𝑥≤−3 if −3<𝑥≤−1 if −1<𝑥≤4{𝑥+4 if −5<𝑥≤−31 if −3<𝑥≤−1−2𝑥+3 if −1<𝑥≤4b.⎧⎩⎨⎪⎪𝑥1−2𝑥 if −5≤𝑥<−3 if −3≤𝑥<−1 if −1≤𝑥<4{𝑥 if −5≤𝑥<−31 if −3≤𝑥<−1−2𝑥 if −1≤𝑥<4c.⎧⎩⎨⎪⎪𝑥+4−12𝑥+3 if −5<𝑥≤−3 if −3<𝑥≤−1 if −1<𝑥≤4{𝑥+4 if −5<𝑥≤−3−1 if −3<𝑥≤−12𝑥+3 if −1<𝑥≤4d.⎧⎩⎨⎪⎪𝑥+41−12𝑥+3 if −5<𝑥≤−3 if −3<𝑥≤−1 if −1<𝑥≤4{𝑥+4 if −5<𝑥≤−31 if −3<𝑥≤−1−12𝑥+3 if −1<𝑥≤4e.⎧⎩⎨⎪⎪𝑥+41−2𝑥+3 if −5≤𝑥<−3 if −3≤𝑥<−1 if −1≤𝑥<4{𝑥+4 if −5≤𝑥<−31 if −3≤𝑥<−1−2𝑥+3 if −1≤𝑥<4

Sketch the graph of the function 𝑓(𝑥) = −(𝑥 − 4)(𝑥 + 1)2(𝑥 − 5). Explain your thinking.

Which piecewise function is shown on the graph? A. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 2 ,𝑥 ≥ 1 B. 𝑓⁡(𝑥) = {-5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 3 ,𝑥 ≥ 1 C. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 2 ,𝑥 ≥ 1 D. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 3 ,𝑥 ≥ 1

Choose which function is represented by the graph.A.𝑓(𝑥)=(𝑥−2)(𝑥+1)(𝑥+3)(𝑥+6)f(x)=(x−2)(x+1)(x+3)(x+6)B.𝑓(𝑥)=(𝑥−6)(𝑥−3)(𝑥−1)(𝑥+2)f(x)=(x−6)(x−3)(x−1)(x+2)C.𝑓(𝑥)=(𝑥−3)(𝑥−1)(𝑥−1)(𝑥+2)f(x)=(x−3)(x−1)(x−1)(x+2)D.𝑓(𝑥)=(𝑥−2)(𝑥+1)(𝑥+3)f(x)=(x−2)(x+1)(x+3)SUBMITarrow_backPREVIOUS

Over what interval is the function in this graph decreasing?A.–5 ≤ x ≤ 5B.–3 ≤ x ≤ 2C.–5 ≤ x ≤ –3D.–2 ≤ x ≤ 3SUBMITarrow_backPREVIOUS

Sketch the graph of a function that satisfies all of the given conditions.vertical asymptote x = 0,f ′(x) > 0 if x < −3,f ′(x) < 0 if x > −3 (x ≠ 0),f ″(x) < 0 if x < 0,f ″(x) > 0 if x > 0