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8.11 Sketching gradient functions

Interactive practice questions

Consider the function $y=4x-3$y=4x3.

a

Find the gradient function of $y=4x-3$y=4x3.

b

Hence graph the gradient function.

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Easy
1min

Consider the function $y=\left(x-5\right)^2-3$y=(x5)23 graphed below.

Easy
2min

Consider the function $y=-\left(x+7\right)^2+5$y=(x+7)2+5 graphed below.

Easy
< 1min

Consider the function $y=x^2-10x+29$y=x210x+29 graphed below.

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-5

interprets the meaning of the derivative, determines the derivative of functions and applies these to solve simple practical problems

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