Domain Algebraically
What is the domain of y=7x6+7x-19?
All real numbers
Determine if these lines are parallel, perpendicular, coinciding, or none:
y=(-2/5)x-7 and y=(2/5)x-7
Write an equation of a line that has a y-intercept of -6 and a slope of 17.
y=-6x+17
Write the equation of a line that passes through the points (-1, 0) and (2, -5). (any form)
y=(-5/3)(x+1)
y+5=(-5/3)(x-2)
y=(-5/3)x+10/3
What is the domain and range of the following relation, and is it a function?
Q={(-2,5),(5,7),(-5,3),(2,7)}
Domain: {-5,-2,2,5}
Range: {3,5,7}
Yes, it is a function b/c each input has only 1 output
What is the domain of the following function:
f(x)=(x+3)/(2x-7)
All real numbers, except when x=7/2
Determine if the lines are parallel, perpendicular, coinciding, or neither:
4x-y=10 and x+4y=-28
Perpendicular
DAILY DOUBLE!!!!!
Find the x and y intercepts of (2/5)x+4y=40
x-intercept: (100,0)
y-intercept: (0,10)
Terrific Triple!!!!
Write the equation of a line, in standard form, that passes through (-4,6) and (8,2)
(Recall that standard form is Ax+By=C)
Given f(x)=x2-6x4-1, find f(2).
f(2)=-93
Find the domain of f(x)=sqrt(5x-1)
Write down the slope(s) of the lines and identify whether they are parallel, perpendicular, or coinciding.
3x-2y=5 and 6x-4y=10
Slope: (3/2)
Lines are parallel
Find the x and y intercepts of 6x-9y=54.
x-intercept: (9,0)
y-intercept: (0,-6)
Write an equation of a line that is parallel to 5x-7y=3 and passes through (10, -7).
y+7=(5/7)(x-10)
y=(5/7)x-(99/7)
Given h(x)=8x3+3x2+4x-1, what value of x will make h(x)=14?
x=1
Find the domain of the function h(x)=2*sqrt(4x+8)-1
Write down the slope(s) of the lines and identify whether they are parallel, perpendicular, or coinciding.
y=5x-7 and 10x-2y=8
Slope of both lines: 5
Lines are parallel
Rewrite the following equation in slope-intercept form:
-8x+3y=15
y=(8/3)x+5
Write an equation of a line, in slope-intercept form, that is perpendicular to x-3y=0 and passes through (-3, -5).
y=-3x-14
Suppose I have a graph of a relation that makes a heart. Is this a relation a function? Why or why not? (Do not have the vertical line test as your only reasoning)
It would not be a function because there are multiple inputs with multiple outputs.
Find the domain of the function g(x)=20*sqrt(-3x+6).
The domain is all numbers less than or equal to 2.
Write down 2 lines that are coinciding to
2x+3y=4
Answers vary; all coinciding lines are multiples of each other. Some answers include:
20x+30y=40, 6x+9y=12, and 10x+15y=20
Rewrite the following equation in slope-intercept form:
y-10=(2/3)(x+6)
y=(2/3)x+14
Write an equation of a line, in slope-intercept form, that is perpendicular to 10x-5y=20 and passes through the origin.
y=(-1/2)x
If I have f(x)=5x2-3x+7, what is f(x+3)? Make sure your answer is fully simplified.
f(x+3)=5x2+27x+43