(ONLY QUESTIONS RELATED TO PHOTO)
The graph is a sinusoidal curve; points A(-3.5,0) and B(1.5,10) mark adjacent troughs and peaks of the curve.
a) what is the amplitude of the curve?
b) what is the period of the curve?
c) compared to the normal sine graph y=sin(x), how far has the graph been shifter vertically?
d) compared to the normal sine graph y=sin(x), what is the shortest distance the graph has been shifted to the right?
e)using the above info, write an equation for the curve.
y=
(QUESTIONS NOT RELATED TO THE PHOTO)
The intervals are randomised.
A = (5,15) B = (2,12)
a) what is A ∪ B?
b) what is A ∩ B?
The function is randomised.
f(x) = √4-2x -5
a) what is the natural domain of f?
b) what is the range of f?
Answer the questions below to help sketch the curve given by the following relation:
y = 1 + 1/3-x
a) which basic function is the right hand side most similar to?
i. x^2 ii. x iii. √x iv. 1/√x v. 1/x vi. 1/x^2
b) writing your answer to the previous part as f(x), what basic shape to you expect y = 1 + 1/3-x to take?
i. f(x) ii. f(x) reflected in the x-axis iii. f(x) reflected in the y-axis iv. f(x) reflected in both the x-axis and y-axis
c) how far has the graph been shifted horizontally?(+to what side)
d) how far has the graph been shifted vertically?(+to what side)
What is the solution to the inequation -x^2 + 2x + 3 > 0?
x >\>= to ….. and/or x <\<= to ……
What is the solution for the inequation (x-1)(x+4)(-x-2)<0?
a) what is the exact value of tan(210°)?
b) what is the exact value of sec(225°)?
a) what is the exact value of csc(-π/6)?
b) what is the exact value of sin(π/6)?