Functions & Transformations
What is the slope-intercept form of a linear equation?
Y= mx=b
What is the degree of 3x^4-2x+1?
Degree of 4
What is the inverse of an exponential function?
A log function
What is sin(90)
1
What type of model represents a constant rate of change?
Linear Model
Shifts up 3 units
What is a zero of x^2-9?
X=3 or x=-3
Simplify: Log(100)
2
What are the coordinates on the unit circle at 0 degrees?
(1,0)
What type of model shows repeated percent growth?
Exponential model
If f(x)=x^2, what does f(x-4) do to the graph?
Shifts rights 4 units
What is the end behavior of a positive cubic function?
Down left , up right
What is the growth factor in y=3(1.2)^x?
1.2
What is the period of Cos x?
2π
What does the vertext represents in in a quadratic model?
Maximum or Minimum value
What is the inverse of f(x)=2x+5?
f^-1(x)= x-5/2
What type of asymptote does 1/x-2 have at x=2?
Vertical asymptote
Solve: 2^x=16
x=4
What identity states sin^2x+cos^2x=1?
Pythagorean Identity
What does correlation describe?
Strength/direction of a relationship
A function passes the vertical line test. What does this mean?
Every x-value had exactly one y-value
What theorem relates zeros and factors of polynomials?
Factor Theoroem
What property is used in log(ab)= log a + log b?
Product property
Solve on 0≤x<2π: cos x =0
x= π/2,3π/2
Why are asymptotes important in real-world models?
They show limiting behavior