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Week 11

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Last updated 4 months ago
10 questions
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Question 1
1.

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.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

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 ____.

Question 7
7.

Question 8
8.

Question 9
9.

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:

Question 10
10.

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 point of discontinuity is at (1, \frac{1}{3}).
The point of discontinuity is at (-2, \frac{1}{3}).
The vertical asymptote has the equation x=1.
The horizontal asymptote has the equation y=-2.
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
cot~ \theta
tan~ \theta
1+cot~ (2 \theta)
1+tan~ (2 \theta)
The range of y=g(x) is
[-4, \infty)
[4, \infty)
(-\infty, -4]
(-\infty, 4]
The central angle formed when the adult travels 10 m, to the nearest degree, is
{26}\degree
{38}\degree
{52}\degree
{63}\degree
The expression \frac{1+sec~\theta}{cos~\theta} is equivalent to
2
\frac{2}{cos~\theta}
\frac{cos~\theta +1}{cos^{2} \theta}
\frac{cos~\theta +1}{1+sin^{2} \theta}
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
g only
h only
f and g only
f and h only
The non-permissible values of x for the identity csc~x~tan~x=sec~x are
\frac{\pi}{2}+2n \pi, n \in I
\frac{\pi}{2}+n \pi, n \in I
\frac{n \pi}{2}, n \in I
n \pi, n \in I