Determine an appropriate viewing rectangle for the graph of the function f (x) = 6x $2$ + x - 10.
A)[ - 50, 50] $\times$ [ - 50, 50]
B)[0, 10] $\times$ [0, 10]
C)[ - 5, 10] $\times$ [ - 10, 50]
D)[ - 5, 5] $\times$ [ - 5, 5]
E)[ - 5, 5] $\times$ [ - 10, 10]
F)[ - 50, 10] $\times$ [ - 10, 100]
G)[ - 5, 50] $\times$ [ - 5, 10]
H)[ - 10, 10] $\times$ [ - 5, 5]

Question

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The graph of the function is a parabola that opens upward. The vertex of the parabola is at (-1/12, -119/12). The x-intercepts are at (-5, 0) and (10/3, 0). The y-intercept is at (0, -10). The viewing rectangle should include the vertex and the x- and y-intercepts. The viewing rectangle [ - 5, 5] $\times$ [ - 10, 10] includes all of these features.

Determine an Appropriate Viewing Rectangle for the Graph of the Function