Let $f:R\to R$ be given by $f(x)=x^3+1$ for all $x\in R$. Draw its graph.

Let f:R→ R be given by f(x)=x³+1 for all x∈ R. Draw its graph.

MISCELLANEOUS EXERCISE 6 (II) · Q163

f:R\to R

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$f(x)=x^3+1$ is the standard cubic $y=x^3$ shifted up by $1$ unit.

Key points: at $x=-1$ , $y=(-1)^3+1=0$ , giving $(-1,0)$ ; at $x=0$ , $y=1$ , giving $(0,1)$ ; at $x=1$ , $y=1+1=2$ , giving $(1,2)$ . The curve has the familiar S-shape of $x^3$ — flat-ish near its inflection point $(0,1)$ , rising steeply for $|x|$ large, s …

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Q.Let $f:R\to R$ be given by $f(x)=x^3+1$ for all $x\in R$ . Draw its graph.

Concept understanding — Polynomial Functions (Linear, Quadratic and Cubic)

Q.Let f:R→Rf:R\to Rf:R→R be given by f(x)=x3+1f(x)=x^3+1f(x)=x3+1 for all x∈Rx\in Rx∈R. Draw its graph.

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Q.Let $f:R\to R$ be given by $f(x)=x^3+1$ for all $x\in R$ . Draw its graph.

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