Simplify the expression. Assume that all variables are positive when they appear.-10
+ 7
- 10
A. -17
B. 17
C. -10
D. -89
Answer: D
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The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation.f(x) =
A. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R =
B. f(x): D = , R =
;
f-1(x): D is all real numbers, R =
C. f(x): D = , R =
;
f-1(x): D = , R =
D. f(x): D = , R =
;
f-1(x): D = , R =
Find the equation of the transverse axis of the hyperbola.(x + 2)2 - 100(y + 4)2 = 100
A. y = 4 B. x = 10 C. y = -4 D. x = -3
Simplify the expression.63
A. Exponent: 6, base: 3 B. Exponent: 3, base: 63 C. Exponent: 1, base: 63 D. Exponent: 3, base: 6
Find all relative extrema for the function, and then match the equation to its graph.
z = -y4 + 4xy - 2x2 +
A. Relative minima of - at (0, 1) and
at (0, -1); saddle point at (0, 0)
B. Saddle points at (0, 0), (-1, 1), (1, -1), (1, 1),
and (-1, -1)
C. Relative maxima of at (1, -1)
and at (1, 1);
D. Relative maxima of at (1, 1)
and at (-1, -1); saddle point at (0, 0)