The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a local minimum. What are the local minima?
A. f has a local minimum at x = 0; the local minimum is 1
B. f has a local minimum at x = -?; the local minimum is -1
C. f has no local minimum
D. f has a local minimum at x = -? and ?; the local minimum is -1
Answer: D
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A. cos (7x + 11) B. - cos (7x + 11) C. - 7 cos (7x + 11) D. 7 cos (7x + 11)
Solve each equation for y as an expression in x. Then equate the expressions to obtain an equation in the variable x. Finally, solve the equation for the unknown x.y - 3x = 20; y - 2x = 5
A. {-15} B. {25} C. {15} D. {-25}
Use a quantifier to make the following true or false, as indicated, where x is a natural number.4x = 7x (make false)
A. There is no natural number x such that 4x = 7x. B. For every natural number x, 4x = 7x. C. No natural number x satisfies 4x = 7x.
Solve the problem.A formula for the focal length of a lens isf = 
Calculate f (the focal length) for a = 14 cm and b = 6 cm.
A. 7.0 cm B. 3.0 cm C. 9.8 cm D. 4.2 cm