Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward.f(x) = -2x2 - 8x
A.
B.
C.
D.
Answer: B
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Determine the values of x for which the function is continuous. If the function is not continuous, determine the reason.f(x) =
A. Not continuous at x = 5; small change B. Not continuous at x = -5, 5; small change C. Continuous for all x D. Not continuous at x = -5; function not defined
Find the curvature of the space curve.r(t) = -9i + (4 + 2t)j + (t2 + 7)k
A. ? =
B. ? = -
C. ? =
D. ? =
Simplify the expression and solve the equation.One of the following is an expression to be simplified by algebraic operations, and the other is an equation to be solved. Identify each, and then simplify the one that is an expression and solve the one that is an equation.(a) +
=
(b)
+
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A. (a) Expression. The simplified form of the expression is:
(b) Equation. The solution to the equation is : x -
B. (a) Equation. The solution to the equation is: 14
(b) Expression. The simplified form of the expression is: x -
C. (a) Equation. The solution to the equation is:
(b) Expression. The simplified form of the expression is: x -
D. (a) Equation. The solution to the equation is:
(b) Expression. The simplified form of the expression is: x -
Use the coordinates of the indicated points to find the slope of the line.
A. -
B. 3
C.
D. -3