Find the extreme values of the function subject to the given constraint.
A. Maximum: none; minimum: 
at 
B. Maximum: none; minimum: 
at 
C. Maximum: none; minimum: 
at 
D. Maximum: none; minimum: 
at 
Answer: C
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Use transformations to help describe the differences and the similarities in the graphs of the quadratic functions. Verify using a graphing calculator.y = 2x2 - 1, y = 2x2 + 4
A. The graph y = 2x2 + 4 is shifted vertically 5 units below y = 2x2 - 1. B. The graph y = 2x2 + 4 is shifted vertically 5 units above y = 2x2 - 1. C. The graph y = 2x2 + 4 is shifted horizontally 5 units to the left of y = 2x2 - 1. D. The graph y = 2x2 + 4 is shifted horizontally 5 units to the right of y = 2x2 - 1.
Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = 2, b = 5f(x) = x3 + 3x2 + 6x + 4
A. f(2) and f(5) have opposite signs, therefore f has a real zero between 2 and 5. B. f(2) and f(5) have opposite signs, therefore f does not have a real zero between 2 and 5. C. f(2) and f(5) have the same sign, therefore f does not have a real zero between 2 and 5. D. f(2) and f(5) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between 2 and 5.
Provide an appropriate response.Perform the indicated operations and simplify your answer: 2
Fill in the blank(s) with the appropriate word(s).
Find the sum.
A. 100 B. 51 C. 39 D. 77