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Week 6
By Anil Nayak
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Last updated 29 days ago
9 questions
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Question 1
1.
The point of discontinuity on the graph
f(x)=\frac{2x^{2}-15x+7}{x-7} is
(7,0)
(7,7)
(7,13)
There are no points of discontinuity
Question 2
2.
If the point (4,8) lies on the graph of y=f(x), which of these points lies on the graph of y=f(2x+8)?
(-2,8)
(-6,8)
(0,8)
(4,8)
Question 3
3.
f(x) is a function shown below. Determine the number of invariant points for y=\sqrt{f(x)}
1
2
3
4
Question 4
4.
An example of an integral polynomial function P(x) that has a graph with x-intercepts \frac{1}{3}, 2 and -3 is
P(x)=(3x+1)(x+2)(x-3)
P(x)=(x+\frac{1}{3})(x+2)(x-3)
P(x)=(x+\frac{1}{3})(x-2)(x+3)
P(x)=(3x-1)(x-2)(x+3)
Question 5
5.
The graph of the function y=x^{2} can be transformed to the graph of the function y=2(x+3)^{2}-2 by performing the following transformations :
- A vertical stretch about the x-axis by a factor of __________
- A horizontal translation of __________ unit(s) to the __________
- A vertical translation by __________ units(s)
Question 6
6.
If f(x)=2x^{2}-3, where x≥0, then a function g(x) that will have a domain and range that are
both
different from those of function f(x) is
g(x)=f^{-1}(x)
g(x)=kf(x),k>0
g(x)=-f(x)
g(x)=f(-x)
Question 7
7.
What is the inverse of f(x)=\frac{1}{2}x+\frac{3}{2}?
f^{-1}(x)=2x+\frac{3}{2}
f^{-1}(x)=2x-\frac{3}{2}
f^{-1}(x)=2x+3
f^{-1}(x)=2x-3
Question 8
8.
The x-intercept(s) of the graph of the function y=\frac{x+3}{x^{2}-9} is/are ___
-3, 3, 0
3, 0
0
No x-intercepts
Question 9
9.
In triangle ABC, if point A has coordinates (-4,5), what is sin(A)?
-5/√41
5/√41
-5/41
5/41