Consider the functions f and g as shown in the graph. Answer the question.What is the domain of f - g?
A. {
-3 ? x ? 3}
B. {
-1 ? x ? 4}
C. {
-3 ? x ? 4}
D. {
-1 ? x ? 3}
Answer: D
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Find the area.Find the area of the region in the first quadrant between the curve y = e-5x and the x-axis.
A. 1
B. 5
C. 
D. 
e
Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = xy = 2x
A. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.
Solve the problem.Find the points where a tangent to the curve of y = cot x is parallel to the line y = - 
x if 
.
A. x = 
, 
B. x = 
, 
, 
, 
C. x = 
, 
, 
, 
D. x = 
, 
, 
, 
Translate into an equation, and then solve the equation.Two times what number is equal to eight?
A. 2x = 8; 4 B. 2x = 8; 5 C. 2 + x = 8; 4 D. 2x = 8; 3