Linear Equations
Functions
Function Composition
Transformations
100
Write the slope intercept form of a line with a -10 slope and a -7 y intercept.
y=-10x-7
100
Is this a function? Why or Why not?
No, because it fails the vertical line test (two outputs for one input).
100
If f(x)=x+6 and g(x)=x^2, what is (g-f)(x) ?
(g-f)(x)=x^2-(x+6)
100
Describe how the graph y=x^2 can be transformed to y=2x^2+3.
A vertical stretch of 2 and a translation of up 3.
200
Write an equation in point slope form of a line that has a slope of 7 and goes through (1, -2).
y+2=7(x-1)
200
Is this a function? Why or why not?
No, because it fails the vertical line test (two outputs for one input).
200
If f(x)=x^2+1 and g(x)=sqrtx, what is (f+g)(x) ?
(f+g)(x)=x^2+1+sqrtx
200
Describe how the graph y=|x|
can be transformed to y=|x-7|+2
A translation to the right by 7 and a translation up 2.
300
Write the equation of the line in slope intercept form that goes through (1,2) and (3,16).
y=7x-5
300
Is this a function? Is this even, odd, or neither?
This is an odd function, because it passes the vertical line test and has symmetry about the origin.
300
If f(x)=x^2+1 and g(x)=sqrtx, what is (f circ g)(x) ?
(f circ g)(x)=x+1
300
Describe how the graph y=|x| can be transformed to y=-2|x-1|+3
A vertical stretch of 2, a translation to the right by 1, a reflection across the y axis, and a translation up 3.
400
Sam ordered 3 tacos and 5 burritos. If the total cost was $10.20 and tacos were $1.50 each, write and solve an equation to find the cost of one burrito.
One burrito = $1.14
400
Is the following a function? Is it even, odd, or neither?
f(x)=2x^2+2
This is an even function, because it passes the vertical line test and has y-axis symmetry.
400
If f(x)=x-7 and g(x)=sqrtx, find the domain of (g circ f)(x) ?
(g circ f)(x)=sqrt (x-7)
D:[7, infty)
400
Describe how the graph y=x^2 can be transformed to y=3(x+2)^2-3
A vertical stretch of 3, a translation to the left by 2, and a translation down 3.
500
Write an equation in standard form of a line that has a slope of -2 and goes through the point (3, -2).
2x+y=4
500
Is the following a function? Is it even, odd, or neither?
f(x)=2x^2-3x
This is a function without even or odd symmetry, because it passes the vertical line test but does not have y-axis symmetry or symmetry about the origin.
500
If f(x)=1/x and g(x)=sqrtx, find the domain of (f circ g)(x) ?
(f circ g)(x)=1/sqrtx
D:(0, infty)
500
Describe how the graph y=sqrtx can be transformed to y=sqrt(2x)+4
A horizontal shrink of 2, and a translation up 4.