f(x)=x(x+1)(x-3) determine
Degree:
End Behaviour:
x-intercepts:
y-intercept:
Degree: 3
End Behaviour:Q3-Q1
x-intercepts: x=-1,0,3
y-intercept: y=0
100
True or False: A 'reciprocal' function is the 'opposite' of the given function
True
100
Find the EXACT radian measure in lowest terms:
200 degrees
200 x (pie/180)
=200(pie)/180
=20(pie)/18
=10(pie)/9
100
Evaluate: log2(32)^1/3
Hint: use power law
1/3log2(32)
1/3Log2(2)^5
1/3x1x5
=5/3
100
f(x)=2/(x^2-2x-3)
State:
Range:
Domain:
Behaviour at the ends:
Range:YER, y>0, y<-0.5
Domain: XER, x cannot equal -1,3
Behaviour at the ends:
x approaches +infinity, Y approaches 0
x approaches -infinity, Y approaches 0
200
Using remainder theorem find the remainder of:
3x^3-2x^2+x-5 divided by (x+2)
f(2)=3(-2)^3-2(-2)^2+(-2)-5
=-24-8-2-5
=-39
200
Find the characteristics of the function
f(x)=x-3
Intercepts x and y:
Interval where the graph is below x axis:
Interval where the graph is above x axis:
Point(s) where the y value is 1:
f(x)=x-3
Intercepts x and y: x int=3, y int=-3
Interval where the graph is below x axis:x<3
Interval where the graph is above x axis:x>3
Point(s) where the y value is 1:(4,1), (2,-1)
200
Express the following as a single trigonometric ratio:
4Sin^2(x/2)-4cos^2(x/2)
A ferris wheel has a diameter of 20m centre of circle is 11m off the ground and makes a complete rotation in 30s.
Find the:
Amplitude:
Vertical shift:
Period:
Minimum:
Maximum:
K Value:
Combining Functions: A company produces a product for $10.00 per unit, plus a fixed operating cost of $48000. The company sells the product for $12.90 per unit.
1) determine a function, c(x) to represent the cost of producing x units.
2)Determine a function, s(x) to represent sales of x units
3) Determine a function that represents profit