Solve the problem.
-Given $f ( x ) = x ^ { 2 } + 2 x + 10$ find all values for $x$ for which $f ( x ) \leq - 5$.
A) $( - \infty , - 5 ] \cup [ 3 , \infty )$
B) $[ - 5,3 ]$
C) $( - 53 )$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The quadratic function $f(x) = x^2 + 2x + 10$ represents a parabola opening upwards with its vertex above the x-axis. Since the minimum value of $f(x)$ is greater than -5, there are no real values of $x$ for which $f(x) \leq -5$.

Solve the Problem f(x)=x2+2x+10f ( x ) = x ^ { 2 } + 2 x + 10f(x)=x2+2x+10

Solve the Problem $f ( x ) = x ^ { 2 } + 2 x + 10$