When graphing inequalities, when would you use a dotted line and when would you use a solid line?
Solid when the inequality is 'or equal to'
Dotted when the inequality is just greater or less than
100
If two lines are perpendicular, what can be said about their slopes?
they are opposite reciprocals or their product is -1
100
Explain what happens in a horizontal stretch.
The graph get stretched away from the y-axis
100
In an absolute value problem, when do you split the equation or inequality into two cases?
After you isolate the absolute value
100
In linear regression...what is the official name for the variable 'r'?
correlation coefficient
200
Would you shade above or below the line for the following inequality...?
y>x+2
above
200
Determine if the 2 lines are parallel, perpendicular, or neither...be able to explain.
y=1/2x-2
y=0.5x+4
Parallel, slopes are the same
200
Does a reflection across the x-axis effect the input or output of the equation? You must be able to explain.
effects y-value, which means the output.
200
If you are solving an absolute value inequality problem, what must you make sure you do when you make the two cases?
When you make the case that changes the sign of the answer, you must also change the direction of the inequality.
200
Does the scatter plot in SLIDE 5 have a positive, negative or no correlation?
negative
300
If we were to graph the following equation by finding the intercepts, what would our x- and y-intercepts be?
2y-3x=24
x-intercept : x=-8
y-intercept : y=12
300
The slope of a line that goes through point (2,3) is 1/2.
DESCRIBE how you would find the y-intercept for this line.
you would put in the slope for m in slope intercept form, and then plug in 2 for x and 3 for y and solve for b.
300
What type of transformation happened and by how much?
g(x)=f(x-3)
Horizontal translation to the right three units.
300
Give the solution set shown on SLIDE 7
-4
300
Describe what the 'line of best fit' does. (NOT how to draw it)
It shows the trend of the data/where most of the data points fall.
400
Would you shade above or below the line for the following inequality...?
3x-y<32
Above
400
Find the equation of the line that is parallel to y=5x+1 and goes through point (-2, -1).
y=5x+9
400
Knowing that you were going to do a reflection across the y-axis, how would that change your new equation for that line; after you did the transformation?
It would effect your x-value, so your input... you would make your x-value negative
f(-x)
400
Solve SLIDE 8
k=13 OR k=7
400
Estimate what r is for the scatter plot on SLIDE 6
anything from r=+.1 to r=+.5
500
Graph the inequality: y<2x-1
y-int: -1
next point: (1,1)
dashed line
shaded below
500
Write the equation of the line represented in the table (on slide 3) in slope-intercept form.
y=1/2x
500
Given the equation: f(x)=x-3, tell me the new equation after a horizontal stretch by a factor of 3.
g(x)=1/3x-3
500
Solve SLIDE 9
x is less than or equal to -2 OR x is greater than or equal to 3
500
Describe what r=-.8 means
The two pieces of information are pretty highly correlated, but have a negative correlation.