Functions
What is the equation for a linear function?
f(x)=mx+b
Complete the identity: _____ + 1=cot2x
csc2x
This trigonometry ratio uses the fraction adjacent over hypotenuse.
cosine(x)
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
What has to be broken before you can use it?
An egg.
What is the quadratic function?
f(x)=ax2+bx+c
Solve on [0,2π): sec x + 2=0
2π/3, 4π/3
The conversion from this radian measure to degrees is 135 degrees.
3*pi/4.
Solve: 4^(x+3) = 16^(5x)
x=1/3
I’m tall when I’m young, and I’m short when I’m old. What am I?
A candle.
What is the exponential function?
f(x)=a⋅bx
What would you find first in this problem, and what law would you use to find it? Solve triangle ABC given that a = 8, c = 5, and B = 40
b, using law of cosines
The sine of 4*pi/3.
- sqrt(3)/2
e^x + 5 = 66
x = 4.111
What month of the year has 28 days?
Every month has at least 28 days.
What is the logarithmic function?
f(x)=logb(x)
Evaluate arc cos (-2)
Not possible.
sin 90 degrees
1
Solve: log base2 of (x+3) = 5
x=29
What is full of holes but still holds water?
A sponge.
How do functions work in math?
A relationship between inputs where each input is related to exactly one output.
Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?
no triangles possible
The conversion from this radian measure to degrees is 390 degrees.
13*pi/6.
Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
Why did the grandma cross the road?
Peanut butter jelly.