Week 11

The distance from the leaf to the end of the windshield wiper, x in the diagram above, to the nearest tenth of a centimeter, is _____cm.

The function f(x)=\frac{x-1}{x^{2}+x-2} is a rational function.

Which of the statements below describing this function is true?

The expression \frac{1+~cos(2 \theta)}{sin(2 \theta)}, where \theta \neq \frac{n \pi}{2}, n \in I, is equivalent to the expression

The range of y=g(x) is

The central angle formed when the adult travels 10 m, to the nearest degree, is

The point (a, –2a), where a > 0, is the point of intersection between the terminal arm of Angle \theta, drawn in standard position, and the unit circle. The value of a can be written in the form \frac{m}{\sqrt{n}}, where m and n are single-digit whole numbers.

The values of m and n are, respectively, ____and ____.

The expression \frac{1+sec~\theta}{cos~\theta} is equivalent to

The functions f, g, and h are defined for X \in R as follows:

f(x)=x^{3}

g(x)=sin~x

h(x)=2^{x}

If each of these functions is multiplied by a constant, k, where k>1, then the range of the function will be changed for

The polynomial P(x)=(x+3)(2x+1)(x-2) is transformed to produce the new function y=N(x) where N(x)=P(0.5x). The zeros of y=N(x), are -a, -b, c. The product abc is:

The non-permissible values of x for the identity csc~x~tan~x=sec~x are