Functions
Is y=2 a function?
Yes
What is sin 30°?
1/2 or 0.5
solve x(x+4)=0
x=0 or x=-4
what is the base in y=10x?
base is 10
Is x=3 a function?
No
What is 30° in radians?
π/6
Factor y=x2 -16
(x-4)(x+4)
convert y=5x to logarithmic form
log5x=y
How is f(x)=x3 transformed to get f(x)=3x3?
Vertically stretched by factor of 3
what is sin 70°?
0.94
what are factors of y=x2+x-20
(x+5) and (x-4)
1.15
what is the value of f(2) if f(x)=2x3+2 ?
f(2)=18
What is x when sin x=0.76?
x=50°
how many x intercepts are there in (x-1)2=0
1
Write log53x=7y in exponential form
57y=3x
How is f(x)=x2 transformed to get f(x)=[4(x-2)2]+1 ?
compressed horizontally by a factor of 1/4, shifted to the right by 2 units and shifted upwards by 1 unit
What is tan 3π/2?
undefined
Factor y=x2+4x+5
it does not have any factors (no x intercepts)
Solve for x in log3(1/27)=x
Hint: use exponent rules from equation sheet
x= -3