Solve the problem or provide an explanation.Graph y = -x2 + 4x - 12 on your graphing calculator and then graph f(x) = 
. Explain what occurs and why.
What will be an ideal response?
There is no graph for f(x). For all values of x, -x2 + 4x - 12 < 0; that is, the graph of y = -x2 + 4x - 12 is below the x-axis. Square root functions are not defined for negative values of the radicand.
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A. Valid B. Invalid
Find the flux of the curl of field F through the shell S.F = (4y + 3)i - 2xj + (ez - 2)k; S: r(r, ?) = 4 sin ? cos ?i + 4 sin ? sin ?j + 4 cos ?k, 0 ? ? ? 2? and 0 ? ? ? 
A. 192 B. 96? C. -192? D. -96?
Malia buys a chocolate-strawberry-vanilla cake in Figure(i) for $14.00 . She cuts the cake into six 60° wedges as shown in Figure (ii). Malia likes chocolate twice as much as vanilla and likes vanilla twice as much as strawberry.
What is the value of piece 6 to Malia?
A. $2.00 B. $1.50 C. $2.50 D. $1.00 E. none of these
Solve the compound inequality. Express the solution using interval notation. Graph the solution set.x ? 4 and x ? -2
A. [-2, ?)
B. (-?, -2] ? [4, ?)
C. [-2, 4]
D. (-?, -2]