Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsTypes of Function (Mapping)Easy2 minQB

MathematicsEasysingle choice

A linear function that map the set ${- 2, 2}$ onto the set ${0, 4}$ is

Answer:

Solution:

Let the linear function be

$f (x) = a x + b$

Let $f (- 2) = 0$ and $f (2) = 4 \Rightarrow f (x) = x + 2$

Let $f (- 2) = 4$ and $f (0) = 0 \Rightarrow f (x) = - x + 2$ The two linear function as are $f (x) = (x + 2) and f (x) = (2 - x)$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

⏱ 2mℹ️ Source: QB

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