New Zealand
Level 7 - NCEA Level 2
Families of Anti-Derivatives and Specific Anti-Derivatives
Interactive practice questions
Consider the gradient function $f'\left(x\right)$f′(x)$=$=$2$2.
a
The family of the antiderivative, $f\left(x\right)$f(x), will be:
Exponential
A
Cubic
B
Linear
C
Quadratic
D
b
The form of the antiderivative will be $f\left(x\right)$f(x)$=$=$mx+c$mx+c. State the value of $m$m.
c
Which of the following functions represent possible values for an antiderivative $f\left(x\right)$f(x)?
Select all that apply.
$f\left(x\right)=-2x$f(x)=−2x
A
$f\left(x\right)=2x+6$f(x)=2x+6
B
$f\left(x\right)=2x-3$f(x)=2x−3
C
$f\left(x\right)=-2x+6$f(x)=−2x+6
D
Easy
1min
Consider the gradient function $f'\left(x\right)$f′(x)$=$=$6$6.
Easy
1min
Consider the gradient function $f'\left(x\right)$f′(x)$=$=$-8x$−8x.
Easy
1min
Consider the gradient function $f'\left(x\right)$f′(x)$=$=$4x+3$4x+3.
Easy
1min
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