Functions
Trigonometry
Calculus
Logs & Exp
Graphing
100
Definition of an odd function.
What is f(-x)=-f(x)
100
200oT as a compass bearing.
What is S20oW?
100
The gradient at this point is 0.
What is a stationary point?
100
The value of x in logx25 = 2
What is 5?
100
Equation of a circle with centre (-2, 2) and radius 3.
What is (x+2)2 + (y-2)2 = 9
200
Is this function continuous
?
No! At x=2, top function = 5, bottom function = 4
200
sin(-150)
What is -1/2
200
The angle the line y = 4x + 2 makes with the x-axis.
What is 76o?
200
Simplify loga(12) + loga(4) - loga(3)
What is loga(16)?
200
Reflect y = ex across the x-axis.
What is y = - ex?
300
DAILY DOUBLE!!
Find h(x)=f(g(x)) if f(x) = 2x2 and g(x) = 3x - 1.
What is h(x)=2(3x - 1)2 ?
300
The length of an arc of a circle with radius 3cm and
theta=0.6 rad
What is 1.8cm?
300
d/dx (2x + 1)3
What is 6(2x + 1)2 ?
300
Find the population, P=100e0.5t after 6 days, where t is in days.
What is 2008?
300
Equation of y=x2 , vertically dilated with a scale factor of 3 then translated 2 units left.
What is y = 3(x + 2)2 ?
400
Solve x2 - 1 < 0
What is -1 < x < 1 ?
400
Find x.
What is 7.96?
400
The gradient of the tangent to the curve y=3x2 at x=2
What is 12?
400
d/dx (3xex)
What is 3ex + 3xex?
400
List the transformations IN ORDER that turn y = |x + 1| into y = 3|x + 1| + 6
What is: translated up 2 and vertically dilated by a scale factor of 3
OR vertically dilated by a scale factor of 3 and translated up 6?
500
State the domain and range of
y = (x+2)/(x+1)
What is
Domain: (-oo, -1) uu (-1, oo)
Range: (-oo, 1) uu (1, oo)
500
Simplify sin(x) + cos(x)cot(x)
What is csc(x)?
500
Find the equation to the normal of the curve
y=x^2/4 at (2, 1).
What is
y=2x - 3
500
Solve 8x+3 = 162x+1
What is x = 1?
500
Draw y = -x3 + 8 with intercepts labelled.
