Use a graphing calculator to approximate the values of x that satisfy the inequality $x ^ { 2 } - 3 x + 3 \leq 57$ .
A) $( - 6 , \infty )$
B) $( - \infty , \infty )$
C) $( - 9 , - 6 )$
D) $( - 9,6 )$
E) $( - 6,9 )$

Question

Quizplus · Accepted Answer

Using a graphing calculator, we can graph the function $y=x^2-3x+3$ and then visually see where the graph is below the horizontal line $y=57$. This occurs for values of $x$ between approximately $-6$ and $9$. Therefore, the inequality is satisfied when $x$ is in the interval $(-6,9)$. The correct choice is $\boxed{	extbf{(E)}}$.

Use a Graphing Calculator to Approximate the Values of X x2−3x+3≤57x ^ { 2 } - 3 x + 3 \leq 57x2−3x+3≤57

Use a Graphing Calculator to Approximate the Values of X $x ^ { 2 } - 3 x + 3 \leq 57$