One of the functions below matches this graph and the other two DO NOT. (I) t(x) = 0.5(x − 0.5)(x + 2)(x + 3) (II) s(x) = −0.75(x + 0.5)(x − 2)(x − 3) (III) m(x) = −0.2(x + 1)(x − 4)^2 (x − 6) (a) Choose the function that could match the graph and explain why. (b) Use this function to label the x-intercepts, y-intercepts and scale on the graph. (c) Choose one of the functions that COULD NOT match the graph and explain why NOT.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
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One of the functions below matches this graph and the other two DO NOT.

(I) t(x) = 0.5(x − 0.5)(x + 2)(x + 3)

(II) s(x) = −0.75(x + 0.5)(x − 2)(x − 3)

(III) m(x) = −0.2(x + 1)(x − 4)^2 (x − 6)

(a) Choose the function that could match the graph and explain why.

(b) Use this function to label the x-intercepts, y-intercepts and scale on the graph.

(c) Choose one of the functions that COULD NOT match the graph and explain why NOT.

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