GRAPHS
polynomial review
INVERSE FUNCTIONS
TRANSLATION/ TRANSFORMATIONS
COMPOSITION AND OPERATIONS OF FUNCTIONS
100
the domain of a quadratic function
What is all real numbers?
100
Simplify: (4c-5)-(c+11)+(-6c+17)
What is -3c+1
100
State if the given functions are inverses: g(x) = 4 - (3/2)x f(x) = (1/2)x + (3/2)
No.
100
Identify the transformations of the graph of f. f(x)=[[x]] h(x)= [[-x]]+6
What is reflection across y axis and vertical shift up 6 units?
100
Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)*g(x) equals what?
What is 8x^3 - 2x^2 + 12x - 3
200
Determine the domain of the function: h(x)=x/(x^2 - x -6)
What is all real numbers except x cannot equal 3 or -2?
200
Solve the equation by find the zeros. x4-7x3+12x2
x=0,3,4
200
Define an inverse function.
A function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x. In math, if ƒ is a function from a set A to a set B, then an inverse function for ƒ is a function from B to A.
200
Which translation's movement is similar to that of a mirror's
What is Reflection
200
Let f(x)=3x and g(x)=2x+4. Then (f o f)(-2) equals what?
What is -18
300
Find the x- and y- intercepts of the graph of the equation: y=(x+1)^2
What is x-int=-1 and y-int= 1?
300
Simplify: 3x4y6(-8x3y
What is -24x7y7
300
Find the inverse of the function: g(x) = (7x + 18)/2
g^-1(x) = (2x - 18)/7
300
Identify the transformations of the graph f. f(x)=x^2 h(x)= -(x+3)^2+1
What is reflection across x-axis, horizontal shift left 3 units and vertical shift up 1 unit?
300
Let f(x)=x^2-5 and g(x)=3x+2. Then -2f(x)+g(x) equals what?
What is -2x^2 + 3x + 12
400
the domain and range of y=|x+2|
What is all real numbers and y is greater than or equal to 0
400
Simplify: (3/5c2f)(4/3cd)2
What is 16/15c4d2f
400
Prove the the following functions are inverses of each other f(x)=(2x+1)/(x+3) g(x)=(3x+1)/(x-2)
no
400
What is the translation shown here? A(3,7) B(5,9) C(5,5) A'(4,6) B'(6,8) C'(4,4)
What is 1 unit right and 1 unit down
400
Let f(x)=3x and g(x)=2x+4. Then (f o g)(1) equals what?
What is 18
500
the domain of y = SQRT (2x+3)
What is x is greater than or equal to -3/2?
500
Solve the equation by finding the zeros. 10x3-20x2-2x+4=0
x=2, sqrt(1/5), -sqrt(1/5)
500
Verify that the functions are inverses of each other f(x)=(x+1)/(x-1) and g(x)=(x+1)/(x-1)
yes
500
Find f(g(x)) and g(f(x)). Find the domain of each function and each composite function. f(x)=(1/3)x-3 g(x)=3x+1
What is f(g(x))=x-(8/3) g(f(x))=x-8? Domain of all is all real numbers.
500
If f(x)=2x+3, then f(-3) equals what?
What is -3
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