Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = -2x3 - 2x2 + 8x + 5; [-1, 0]
A. f(-1) = 3 and f(0) = 5; no
B. f(-1) = 3 and f(0) = -5; yes
C. f(-1) = -3 and f(0) = 5; yes
D. f(-1) = -3 and f(0) = -5; no
Answer: C
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Enrollment at a certain university t years after 2000 is given by
.
According to the model, what is the maximum enrollment that can be attained? Round your answer to two decimal places, if necessary.
?
A. 10,853.00 B. 21,706 C. 5,426.50 D. 22,031
Find an equation of a parabola satisfying the given conditions.Focus at (4, 0), directrix x = -4
A. y2 = -16x
B. y = x2
C. x = y2
D. -16y = x2
Find the domain and range of the function.f(x) = (x + 2)2 + 9
A. Domain: (-9, ?); range: (-?, ?) B. Domain: (9, ?); range: (-?, ?) C. Domain: (-?, ?); range: (-9, ?) D. Domain: (-?, ?); range: [9, ?)
Simplify each side of the equation, if possible. Then solve the equation.15y + 14 = 16y
A. -14 B. 15 C. 14 D. 29