NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Signed area function

Interactive practice questions

Consider the function $f\left(x\right)=8-4x$f(x)=84x.

a

Graph the function.

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b

What is the $x$x-coordinate of the $x$x-intercept?

c

Let $F\left(x\right)$F(x) be the area function representing the area bound by $f\left(x\right)$f(x) and the $x$x-axis for $x<2$x<2.

Integrate $f\left(x\right)$f(x) to find an expression for $F\left(x\right)$F(x).

Use $C$C as the constant of integration.

Easy
Approx 2 minutes
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Consider the function $f\left(x\right)=4x-8$f(x)=4x8.

Consider the function $f\left(x\right)$f(x) drawn below.

Consider the function $f\left(x\right)$f(x) drawn below.

Outcomes

M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

91579

Apply integration methods in solving problems

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