Term
How do you shift this function "A" units right? y=f(x) ---- |
|
Definition
|
|
Term
How do you shift this function "A" units left? y=f(x) ----- |
|
Definition
|
|
Term
How do you shift this function "A" units right? y=f(x^2) ------ |
|
Definition
|
|
Term
How do you shift this function "A" units left? y=f(x^2) ------ |
|
Definition
|
|
Term
How do you shift this function "A" units Up? y=f(x) ---- |
|
Definition
|
|
Term
How do you shift this function "A" units Down? y=f(x) ---- |
|
Definition
|
|
Term
How do you reflect this function over the x-axis? y=f(x) ---- |
|
Definition
|
|
Term
What type of graph does this function generate? (x^2) ----- |
|
Definition
|
|
Term
When graphing a function always start where? ------ |
|
Definition
|
|
Term
In what order do you apply transformations to a graph? ------ |
|
Definition
1.)Horizontal Shifts --- 2.)Stretching or Shrinking --- 3.)Reflecting --- 4.)Vertical Shifting --- |
|
|
Term
How do you compress this function "A" units? y=f(x) ---- |
|
Definition
y=f(A)(x) ---- Making it thinner |
|
|
Term
How do you stretch this function "A/B" units right? y=f(x) ---- |
|
Definition
y=f(A/B)(x) ---- Making it wider |
|
|
Term
What shape is this function? (x^3) |
|
Definition
|
|
Term
What function do you multiply by to make this function Ax+B equal this function |Ax+B|? |
|
Definition
|
|
Term
What is the first term of the composite function f*g? f(x)=Ax+B g(x)=(x^2)-C |
|
Definition
|
|
Term
How do you find (f*f)(A)? f(x)=Bx-C |
|
Definition
1.)Complete this problem B(A)-C ---- 2.)Set the solution of the previous problem as the variable "D". B(A)-C=D ---- 3.)Now complete this problem B(D)-C ---- |
|
|
Term
Let f(x)=Ax+B and let g(x)=(Cx^2)-D, How do you evaluate (f*g)(E)? |
|
Definition
1.)Complete this problem: ((C)*(E^2))-D --- 2.)Set the Solution of this problem as the variable "F" ((C)*(E^2))-D=F --- 3.)Solve this problem: A(F)+B ----- |
|
|
Term
How do you solve a problem of this form? (f+g)(A)=f(A)+g(A) ----- f(x)=(1/(Squareroot of x+B)) g(x)=(Cx+D) ---- |
|
Definition
1.)Solve this problem: (1/(Squareroot of A+B))+((C*A)+D) ---- |
|
|
Term
How do you solve a problem of this form? (f-g)(A)=f(A)-g(A) ----- f(x)=(1/(Squareroot of x+B)) g(x)=(Cx+D) ---- |
|
Definition
1.)Solve this problem: (1/(Squareroot of A+B))-((C*A)+D) ---- |
|
|
Term
How do you solve a problem of this form? (f-g)(A)=f(A)*g(A) ----- f(x)=(1/(Squareroot of x+B)) g(x)=(Cx+D) ---- |
|
Definition
1.)Solve this problem: (1/(Squareroot of A+B))*((C*A)+D) ---- |
|
|
Term
How do you solve a problem of this form? (f-g)(A)=f(A)/g(A) ----- f(x)=(1/(Squareroot of x+B)) g(x)=(Cx+D) ---- |
|
Definition
1.)Solve this problem: (1/(Squareroot of A+B))/((C*A)+D) ---- |
|
|
Term
How do you simplify a problem in this form? ((1/Squareroot A)/B) |
|
Definition
|
|
Term
How do you solve a problem of this form? (f+g)(A)=f(A)+g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
|
|
Term
What is the domain of a problem of this form? (f+g)(A)=f(A)+g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
(-Infinity,-C) Union (-C,Infinity) ---- |
|
|
Term
How do you solve a problem of this form? (f-g)(A)=f(A)-g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
|
|
Term
What is the domain of a problem of this form? (f-g)(A)=f(A)-g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
(-Infinity,-C) Union (-C,Infinity) ---- |
|
|
Term
How do you solve a problem of this form? (f*g)(A)=f(A)*g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
|
|
Term
What is the domain of a problem of this form? (f*g)(A)=f(A)*g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
(-Infinity,-C) Union (-C,Infinity) ---- |
|
|
Term
How do you solve a problem of this form? (f/g)(A)=f(A)/g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
|
|
Term
What is the domain of a problem of this form? (f/g)(A)=f(A)/g(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
(-Infinity,-C) Union (-C,0) Union (0,Infinity) ---- |
|
|
Term
How do you solve a problem of this form? (g/f)(A)=g(A)/f(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
|
|
Term
What is the domain of a problem of this form? (g/f)(A)=g(A)/f(A) ----- f(x)=(B/(x+C)) g(x)=(x/(x+C)) ---- |
|
Definition
(-Infinity,-C) Union (-C,Infinity) ---- |
|
|