Question

Identify the graph of the polynomial function $f$.
$f\left(x\right)=x^4-2$

• A. graph a
• B. graph b
• C. graph c
• D. graph d

Answer 1

The correct option is A graph a

Let $y=x^4-2$

The graph of $f\left(x\right)$ in this example is the graph of $y=x^4-2$. It is easy to generate points on the graph.

Choose a value for the first coordinate, then evaluate $y$ at that number to find the second coordinate.

The several values for $x$ and the function $y$ evaluated at those numbers.

If $x=0$, then $y=x^4-2=(0{)}^4-2=0-2=-2$implies the point is $(0,-2)$.

If $x=1$, then $y=x^4-2=(1{)}^4-2=1-2=-1$implies the point is $(1,-1)$.

If $x=-1$, then $y=x^4-2=(-1{)}^4-2=1-2=-1$implies the point is $(-1,-1)$.

Hence, the graph of the function is shown above