Answer the question.Explain why the vertical line test works when determining whether a graph is the graph of a function.
What will be an ideal response?
A function can have no more than one y-value for any given x-value. A vertical line is the graph of the equation x = a. Therefore, if a vertical line does not intersect the graph more than once, it means that there is not more than one y-value for that value of a.
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Use either the binomial theorem or Pascal's Triangle to expand the binomial.(x + 4)3
A. x3 + 12x2 + 48x + 64 B. 3x + 12 C. x3 + 4x2 + 16x + 64 D. x3 + 64
Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.For what angle T is cos T ? 0.866? (Assume 0° ? T ? 90°.)
A. 0.866° B. 28.65° C. 30° D. 60°
Simplify the expression.
a. 9 b. 18 c. 216 d. 729
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.10x2 + 23x + 12
A. prime B. (10x + 3)(x + 4) C. (2x + 3)(5x + 4) D. (2x - 3)(5x - 4)