2.1
2.2-2.3
2.4-2.5
2.6-2.7
RANDOM
100
Write an equation of a line in point-slope form that goes through the point (2,4) and is parallel to the line y = 4x -7
y=4x-4
100
What is the end behavior of the following function?
y=x^3
Down-Up... or:
x->-infty, y->-infty
x->+infty, y->+infty
100
What is the difference between a RIGID and NONRIGID transformation? Give examples of each
rigid: does not change the shape. includes reflections, rotations, and translations
non-rigid: changes the shape. includes dilations and compressions
100
Find f(-3)
f(x)=x^2+1
g(x)=x-4
10
100
Find f(x)=3
x=0.5
200
Write the equation of a line in standard form with intercepts:
x-intercept: (3, 0)
y-intercept: (0, 9)
9x+3y=27
3x+y=9
200
Is the following function even, odd, or neither?
f(x)=x^4-6x^2+12
even
200
Give TWO examples of parent functions that have an asymptote(s)
rational
exponential
logarithmic
200
Find f(g(-1))
Find f(g(-1)
200
If f(x)=f(-x), then the function is...
even
300
A discount outlet is offering a 70% discount on all items. Write a linear equation giving the sale price S for an item with a list price L.
S=.3L
300
Find the zeroes of the function algebraically
f(x)=(x^2-9x+14)/(4x)
x=7, x=2
300
Given the original function and the transformations, write the new function
- vertically compress by 0.25
- left 3
- reflect over x
- up 8
f(x)=sqrtx
y=-.25sqrt(x+3)+8
300
Find (fog)(x). What is the domain?
f(x)=4x^2
g(x)=1/(x-3)
4/(x-3)^2
domain(-∞,3)U(3,∞)
300
Factor
81x^3+24
3(3x+2)(9x^2-6x+4)
400
y=-5(x-3)^2+3
In the xy-plane, a line passes through the point (1,-5) and the vertex of the parabola with the equation above. What is the equation of this line m in point-slope form?
y-3=4(x-3)
y+5=4(x-1)
400
Use your calculator to find the intervals of increasing and decreasing of the following function. Round to two decimal places!
y=x^3-3x^2-x+1
IOI... IOD...
(-∞,-0.16)U(2.16,∞)
(-0.16,2.16)
400
Suppose the point (-6,-2) is on the graph of some function f(x), what point must be on the graph of 0.5f(2x) -3
(-12, -4)
400
find f(g(x)). Assume x≥3
f(x)=sqrt(x-5)+3
g(x)=x^2-6x+14
x
400
Find the center and radius of the circle:
x^2+y^2-8x+4y+11=0
Center: (4, -2)
Radius: 3
500
Triangle ABC has coordinates A (1,1) and B (7,2) find the equation of the perpendicular bisector in slope intercept form of segment AB.
y=-6x+25.5
500
Find the domain of the following function
f(x)=1/(x^2-4)
(-∞,-2)U(-2,2)U(2,∞)
500
Graph the following piecewise function, f(x)
|x| when x<-1
-3 when -1 ≤x<3
-2x+6 when x≥3
500
find g(f(x))
f(x)=sqrt(x-5)+3
g(x)=x^2-6x+14
x
500
The table below gives the estimated world population (in billions) for various years. Use your calculator to run a linear regression. Round to the nearest whole number
y=85x-163766