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Grade 12

Functional Relations to Describe Properties

Interactive practice questions

Consider the function $f\left(x\right)=3^x$f(x)=3x.

a

Calculate $f\left(x+y\right)-f\left(x\right)f\left(y\right)$f(x+y)f(x)f(y).

b

What can we conclude about $f\left(x\right)$f(x) for any real valued $x$x?

$f\left(x+y\right)>f\left(x\right)f\left(y\right)$f(x+y)>f(x)f(y)

A

We cannot conclude anything.

B

$f\left(x+y\right)=f\left(x\right)f\left(y\right)$f(x+y)=f(x)f(y)

C

$f\left(x+y\right)f(x+y)<f(x)f(y)

D
Easy
2min

Consider the function $f\left(x\right)=4^x$f(x)=4x.

Easy
2min

Consider the function $f\left(x\right)=7^x$f(x)=7x.

Easy
1min

Consider the function $f\left(x\right)=2x^2+5x+5$f(x)=2x2+5x+5.

Easy
3min
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Outcomes

12F.D.2.3

Determine, through investigation, and explain some properties of functions formed by adding, subtracting, multiplying, and dividing general functions

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