Functions/Polynomials
Logs & Exponentials
Circles
Trigonometry
Potluck
100
Is the relation a function? Explain.
(3, 4), (4, 7), (4, 2)
No. The x-value 4 has two y-values.
100
The value of Jalen’s car is $35,000 and depreciates at a rate of 9% each year. What is the value of his car after 10 years? (round to the nearest dollar)
$13,630
100
Find the value of x
x = 39º
100
What is the value of cos pi/4
sqrt2/2
100
What is the remainder when f(x) = x3 + 3x2 − 10x − 14 is divided by (x − 3)?
x = 10
200
Given g(x)=|x+7|-2
Evaluate g(-9)
0
200
What was the original function and how has it been transformed?
f(x) = 1/3(2x+3) + 4
f(x) = 2x
compression of 1/3
horizontal shift left 3
vertical shift up 4
200
Find x to the nearest tenth
x = 3.8
200
Sine is represented by which values in an ordered pair?
y -values
200
Solve for x. Round to the nearest ten thousandths
11x-8 - 5 = 54
x = 9.7005
300
Write an absolute value to represent the situation.
The outdoor temperature ranged between 42°F and 60°F in a 24-hour period.
42 < x < 60
300
Rewrite
625=54
log5625 = 4
300
Find x to the nearest tenth.
x = 6.5
300
Find the length of the arc on a circle with a radius of 30 ft that is intercepted by a central angle measuring 2 ½ radians.
75 feet
300
Factor
-27x3 + 125
(-3x + 5)(9x2 + 15x + 25)
400
Find the Inverse of
f(x) = 23x - 8
f-1(x) = (x+8)/23
400
Solve
-10 + log3(n+3) = -10
n = -2
400
Solve for x
x = 2
400
Find the exact value:
cos -960º
-1/2
400
What are the zeros of p(x)=x3 - 2x2 - 23x + 60
{-5, 3, 4}
500
Given the defined function f(x) What is the value of
f(x) = −x2 + 6x − 4 x>0
|x − 3| − 1 x<0
2f(-3) + f(6)?
6
500
If 20.0 g of a radioactive isotope are present at 1:00 PM and 2.5 g remain at 2:00 PM, what is the half-life of the isotope?
t = 1/3
20 minutes
500
Solve for a
a = 12
500
Describe the transformations.
What is the amplitude value and your midline?
reflected in x-axis
phase shift left 4
down 9
a = 2 midline y = -9
500
x2+y2+14x-12y+4=0 is the equation of a circle. What is the length of the diameter of the circle? Express your answer as an integer or a fraction.
diameter is 18 units