Question: PART B-FULL SOLUTIONS (Show all work in the spaces provided. 74 marks) 1) [K] (/5) Sketch the following function on the Cartesian plane provided.

Label all of the intercepts. f(x)=-x(x-4)(x+3) 10 B 3 10 -3 2

.9 -10 2) [I](/2) When the polynomial 2x + kx +6x+3 is

divided by the binomial (x-2), the remainder is -1. Determine the value

of k. B) [A] (/5) On a restricted domain the function f(x)

= -2x+17x-44x +36x models the height above the ground, in cm, of

a toddler playing leapfrog with her stuffed animals, over a time x

in seconds. Determine when the toddler is at a height of Ocm.

PART B-FULL SOLUTIONS (Show all work in the spaces provided. 74 marks) 1) [K] (/5) Sketch the following function on the Cartesian plane provided. Label all of the intercepts. f(x)=-x(x-4)(x+3) 10 B 3 10 -3 2 .9 -10 2) [I](/2) When the polynomial 2x + kx +6x+3 is divided by the binomial (x-2), the remainder is -1. Determine the value of k. B) [A] (/5) On a restricted domain the function f(x) = -2x+17x-44x +36x models the height above the ground, in cm, of a toddler playing leapfrog with her stuffed animals, over a time x in seconds. Determine when the toddler is at a height of Ocm.

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