Question

the graphs of $f(x) = x^3 - 2x^2 + 4$ and $g(x) = x + 2$ are shown. use the graphs to find the solutions of $x^3 - 2x^2 + 4 = x + 2$. select all that apply.
a $-2$
b $-1$
c $1$
d $2$
e $4$

Explanation:

Step1: Identify equation meaning

The equation $x^3 - 2x^2 + 4 = x + 2$ is equivalent to finding $x$-values where $f(x)=g(x)$, i.e., intersection points of the two graphs.

Step2: Locate intersection x-values

From the graph, the lines intersect at $x=-1$, $x=1$, and $x=2$.

Answer:

B. -1, C. 1, D. 2