More Functions
Is this relation a function?
A. {(5,-7), (6,-7), (-8,-1), (0,-1)}
Yes.
Let f(x)=2x-1, g(x)=3x. Compute f(g(-3))
f(g(-3))=-19
Find the inverse of g(x)=-4x+1
g-1(x)=(-1/4)x+(1/4)
Write the slope-intercept form of the equation of each line given the slope -9/5 and y-intercept -4
y=-9/5x-4
Factor x2y2-3xy2
xy2(x-3)
Given the relation R={(-2,3), (a,4), (1, 9), (0,7)}, find a replacement for a that would makes this relation a function.
Let f(x)=3x-7 and g(x)=-2x-6. Compute f(g(x))
-6x-25
Graphically and algebraically determine if the function is one to one.
f(x)= (x+2)2-3
NO.
what does one to one mean?
what test does it not pass?
Find the slope of the line 3x-5y=-15
3/5
Factor x4+2x3
x3(x+2)
The graph of y=ax2 is shifted up 3 units and right 5 units. Which equation represents the resulting graph?
y=a(x-5)2+3
If f(x)=3x+2 and g(x)=4-5x, then (f-g)(x) is equal to
8x-2
State if the given functions are inverses of each other and justify your reasoning:
f(n)=(-16+n)/4
g(n)=4n+16
Yes!
Write the slope-intercept form of the equation of the line that goes through (-2,-4) and is perpendicular to y=-2/9x+4
y=9/2x+5
Factor 9x2-25y2 and define the special group it falls under.
(3x+5y)(3x-5y)
Find the domain and range of the function y=x2-4 (Sketch the graph if needed).
Domain: (-inf, inf) Range: [-4, inf)
If f and g are two functions defined by f(x)=3x+5 and g(x)=x2+1, then g(f(x)) is
9x2+30x+25
Graphically determine if the following pairs of functions are inverses of each other
f(x)=4x-5 and g(x)=(x+5)/4
Yes.
graph shown
Factor 35p2+13p-4
(7p+4)(5p-1)
Which of the following most accurately describes the translation of the graph y=-2(x-6)2-1 to the graph y=-2(x-4)2?
up 1 and 2 to the left.
Let f(x)=2x-1, g(x)=3x, h(x)=x2+1. Compute h(g(f(5))
Find the inverse of each function. Then graph the function and its inverse
f(x)=(-1/5)x-1
f-1(x)=-5x-5
Write the three forms of a linear function
f(x)=mx+b
y-y0=m(x-x0)
Ax+By=C
Factor 24x2y+34xy+12y
2y(3x+2)(4x+3)