Find a function that satisfies the given conditions and sketch its graph.
f(x) = 0,
f(x) = ?,
f(x) = ?
What will be an ideal response?
(Answers may vary.) Possible answer: f(x) =
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Solve the problem.Find the foci and asymptotes of the following hyperbola:x2 - = 1
A. Foci: (, 0), (-
, 0); Asymptotes: y =
x, y = -
x
B. Foci: (4, 0), (-4, 0); Asymptotes: y = x, y = -
x
C. Foci: (0, ), (0, -
); Asymptotes: y = 4x, y = -4x
D. Foci: (, 0), (-
, 0); Asymptotes: y = 4x, y = -4x
Solve the problem.Find the area between y = (x - 3)ex and the x-axis from x = 3 to x = 8.
A. 4e8 + e3 B. 4e8 C. e8 + e3 D. e8 - e3
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(logam - logan) + 4logak
A. loga
B. logamk4n
C. loga
D. loga
Indicate whether the equation illustrates the multiplicative property of 0, the multiplicative identity, the commutative property of multiplication, the associative property of multiplication, or the distributive property.- (2 + 6) = -2 - 6
A. Commutative property of multiplication B. Multiplicative identity C. Associative property of multiplication D. Distributive property