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Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Functions: Absolute Value
Mr. Howard's Choice
100
what is the domain and range of the following equation f(x)=|x-3|+4
What is Domain: IR Range: (4,infinity)
100
if x is 14 and f(x) is 3, in the inverse function what is x and what is f^-1(x)
What is x is 3 and f^-1(x) is 14
100
using the given function, create an equation to manipulate it to flip over both the y-axis: f(x)=x^2
What is f(x)=-2x^2
100
Solve the Absolute Value equation either algebraically or graphically. 2-|5x+5|=-43
What is x=-10,8?
100
200
if f(x)=x^2-1 and g(x)=x+5, what is g(f(x))? what is the final equations domain and range
What is What is What is x^2+4. range: (4,infinity) domain: IR
200
create an inverse equation for f(x)=2x-4
What is f^-1(x)=(x+4)/2
200
(a) y = 2g(x) (b) y = g(2x) (c) y = g(x) + 2 (d) y = g(x + 2) Each of the functions correspond to a speciļ¬c transformation. Explicitly name the transformations in (a) through (d).
What is a) vertical dilation on y-axis b) horizontal dilation on x-axis c) vertical translation d) horizontal translation
200
Solve the Absolute Value equation either algebraically or graphically. 6+|6x+6|=-30
What is no solution?
300
what is the domain and range of the following equation: f(x)=(-1/2)(2x^2+4)-2
what is domain: IR range: (-2,- infinity)
300
(9,4) is on the graph y=2x+1. what is the inverse function and the corresponding point on it?
what is (x-1)/2=y. (3/2,4)
300
Sketch the graph of g(x) = 3^x. Perform the following transformations on g(x) and graph. (a) y = 2g(x) (b) y = g(x + 3) (c) y = g(x) + 1 (d) y = g(3x)
What is (see notebook)
300
Solve the absolute value equation (either graphically or algebraically) -8|-2+9x|-7
What is x=0,4/9?
400
the domain of function f is all number between 2 and 7, inclusive, and the range of f is all numbers between 4 and 8, inclusive. what are the domain and range of g(x)=(3/2)f(x^4)
what is x is equal to or greater than 16 and is equal to or less than 2401. 16=
400
create an inverse equation for the following: f(x)=2(x^3+3)-5
What is What is f^-1(x)=cubed root of (x+2)/2
400
the graph of function f(x) is given by the following points: 1. (-3,3) 2. (-2,3) 3. (-2,2) 4. (0,0) 5. (3,3) using the five points given, sketch the graph of function: y=-2f(x/2)+3
what is the points you should have: 1. (-6,-4.5) 2. (-4,-4.5) 3. (-4,2) 4. (0,3) 5. (6,-4.5)
400
Solve the absolute value equation either graphically or algebraically. 4|5x+2|+9=101
What is x=-5,21/5?
500
g(x)=x^2+2. h(x)=x-12. f(x)=3x^2+5 what is f(g(h(x)))?
What is f(g(h(x)))= 3x^4-72x^2+63953
500
create an inverse equation for the following: f(x)=(1/2)(-4x^2-4)+15 what will the inverse look like? will it be thin, wide, upside down, right side up?
What is f^-1(x)= square root of (2*(x-11))/-4
500
Given that the zeroes of f(x) are -2, 1, and 6. After each of the following transformations, either identify the new zeroes or whether or not there is enough information to tell. (a) y = f(x) + 2 (b) y = 3f(x) (c) y = f(x-4) (d) y = f(x/2) (e) y = -f(x)
what is a) N/A b) -2,1,6 c) 2,5,10 d) -4,2,12 e) N/A
500
Solve the Absolute Value equation either algebraically or graphically. 1-10|6x+2|=1
What is x=-1/3?