Functions
Determine the domain and range from data given in...{(-3,4),(5,-6),(-2,7),(5,3),(6,-8)}
What is...
Domain:{x=-3,-2,5,6}
Range:{y=-8,-6,3,4,7}
Solve...
/=over
2/3 divided by 4/3
What is...
=1/2
List what a, k, d and c are in...
g(x)=3f[2(x+2)]-1
What is...
a= 3
k= 2
d= -2
c= -1
What is your A, P, I, N, T? (Compound Interest Formula)
A= P(1+i/n)nt
What is...
A= Future amount
P= Principal amount (initial amount)
I= Interest rate (% as a decimal(annual))
N= Number of times its compounded into a year
T= Number of years
What does SOH CAH TOA stand for?
What is...
SOH= Sine opposite over hypotenuse
CAH= Cosine adjacent over hypotenuse
TOA= Tangent opposite over adjacent
Determine what f(x)=3x2-x+7 would equal if f(x) is f(1/2).
What is...
=7.25
Solve...
/=over
(2x/3y) - (y/2)
What is...
=4x-3y2/6y
If f(5)=13, then what is f-1(the inverse)?
What is...
f-1(13)=5
An insect colony has a population of 50 insects. Its population doubles every 3 days. What is the population after 12 days?
What is 800.
What is the (OPP) side of a Special Triangle if the (HYP) is 2 and the (ADJ) is 1?
"What is √3"
Simplify the following radical...
√=square root
/=over
1/4√28-3/4√63+2/3√50
What is...
=(-7/4√7)+(10/3√2)
(Multiplying Rational Expressions) (state restrictions)
Solve...
/=over
(a2+2a/3a) x (20a2/5a2+10a)
What is...
{"a" cannot equal 0 or -2}
=4a/3
List the parent function for y=x2.
What is...
-3 9
-2 4
-1 1
0 0
1 1
2 4
3 9
You buy a new car for $24,000. The value of the car decreases by 16% every year. How much will the car be worth in 8 years?
What is $5949.02
What are A, K, D and C? (From Trig. Functions)
What is...
A= Amplitude
K= # of cycles in 360degrees
D= Phase Shift
C= Vertical Shift
Rewrite the quadratic in vertex form by completing the square. Then state the vertex whether it is a max or min point, and the axis of symmetry.
y=-3x2+9x-13
What is...
/=over
=-3(x-3/2)2-25/5
Vertex= (-3/2, -25/5)
Max- x=-3/2
(Dividing rational expressions) (state restrictions)
Solve...
/=over
2x2-8x/x2-3x-10 divided by 4x2/x2-9x+20
What is...
Restrictions- x cannot equal 5, -2, 4, 0
=(x-4)2/2x(x+2)
List the parent function for y=1/x
What is...
-2 -0.5
-1 -1
-1/2 -2
0 doesn't exist
1/2 2
1 1
2 0.5
You are about to go to university. When you are done in 4 years, you want to buy a new car. The one you were looking at costs $16,000. If you can find an investment that pays 10.9% interest per year, compounded annually, how much should you invest now?
What is $10,577.76
complete the parent function and transformed function for...
Y= -1.5cos[3(x-30)] +0.5
What is...
Y=cos x x/3 +30 -1.5y +0.5
0 1 30 -1
90 0 60 0.5
180 -1 90 2
270 0 120 0.5
360 1 150 -1
If a line with slope 4 has 1 point of intersection with the quadratic function y=1/2x2 +2x -8, what is the y intercept of the line? Write the equation of the line in slope y intercept form.
What is...
y=4x+10
Solve...
/= over
(state restrictions) (adding and subtracting rational expressions with polynomial denominators)
(x+9/x2+2x-48)-(x-9/x2-x-30)
What is...
Restrictions- x cannot equal -8, 6, -5
=15x+117/(x-6)(x+8)(x+5)
What does a, k, d and c stand for in Transformations of Functions?
What is...
a= vertical stretch/compression
k= horizontal stretch/compression
d= horizontal translation (left/right)
c= vertical translation (up/down)
U-239 has a half life of about 2 years. If you start with a 1000mg sample, how long will it take to decay to 10mg?
Y=a+bx
What is 13.3years.
Johnny, Zane and Ms. Kuhl are standing on a soccer field. Zane and Ms. Kuhl are 23m apart. From Zane's POV the other two are separated by 72degrees. From Johnny's POV the other two are separated by an angle of 55degrees. Determine the distance from Johnny to Ms. Kuhl.
What is 26.7m