Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).
The constant of variation<span> is the number that relates two variables that are directly proportional or inversely proportional to one another.</span>
Answer:
D.) This system has no solutions (The one you chose is correct)
Step-by-step explanation:
y = 8x + 9
-8x + y = -1
-8x + y = -1
y = 8x - 1
These two lines will also never meet as the slope are both 8, but the y-intercept is different, to check, look at the graph below.
9514 1404 393
Answer:
3x +2y = 4
Step-by-step explanation:
The standard form equation is easily found with a suitable graphing application. (See attached.) It is ...
3x +2y = 4
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Given two points, you can find the slope-intercept form of the equation using the two-point form of the equation for a line ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-1 -2)/(2 -0)(x -0) +2
y = -3/2x +2
Because the slope is negative, you would expect that y decreases and x increases. To check this, you can substitute values for x. At x=0, y=0. Increase x to 1, and y=-3.