Determine the domain and the range of the function.f(x) = x2 + 2x - 3
A. domain: range: {x|x ? 1}
range: {y|y ? 4}
B. domain: all real numbers
range: {y|y ? 4}
C. domain: range: {x|x ? 1}
range: {y|y ? -4}
D. domain: all real numbers
range: {y|y ? -4}
Answer: D
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Solve. Round to the nearest hundredth, if necessary.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 2-kg object stretches a spring 95 cm, find the distance when the weight is 3-kg.
A. 142.5 cm B. 0.06 cm C. 100 cm D. 47.5 cm
Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) =
A. f(x) = +
-
(sin x - sin 2x + . . .)
B. f(x) = +
-
(sin x + sin 2x + . . .)
C. f(x) = +
+
(sin x - sin 2x + . . .)
D. f(x) = +
+
(sin x + sin 2x + . . .)
Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
A. half-open interval; {x|2 < x ? 8}; (2, 8] B. closed interval; {x|2 ? x ? 8}; [2, 8] C. open interval; {x|2 < x < 8}; (2, 8) D. half-open interval; {x|2 ? x < 8}; [2, 8)
Solve.log5x = -3
A. x = 2
B. x = -15
C. x =
D. x =