2f(x) = 2x - 4 [0, 3]3f(x) = 3x - 1 [-2, -1]9f(x) = x² [4, 5]4f(x) = 4x [5, 20]5f(x) = x² - 3 [0, 5]1f(x) = x + 10 [-5, -1]10f(x) = 10x [-3, 0]¹/₂f(x) = 0.5x - 2 [2, 4]11f(x) = 2x² + x [1, 4]-1f(x) = -x + 2 [-3, 5]Domainthe set of all reasonable input values of x for the functionRangeset of output y values for the domain of the functionAverage Rate of ChangeChange in values over a given interval.Origin(0,0) on the coordinate graphing system; where the two axes meetx-axisthe horizontal number line in the coordinate systemy-axisthe vertical number line in the coordinate systemCoordinatesany specific (x,y) in the coordinate systemx-interceptwhere the function intersects the x-axisy-interceptwhere the function intersects the y-axis; the b value in a linear functionLinear FunctionA function whose graph is a straight line, where the average rate of change (slope) is constant.Exponential FunctionA function where the average rate of change is not constant and whose input value is an exponent.Table of ValuesA table showing two sets of related numbers<span>Slope of line through the points (-2, 3) and (0,0)
m = (0 - 3) / (0 - -2) = -3/2</span><span>Average Rate of Change on the interval
[-2, 0]</span>Slope: m = "rise over run" = 2Rate of Change<span>Slope of line through the points (5, -1) and (0,0)
m = (0 - -1) / (0 - 5) = -1/5</span><span>Average Rate of Change on the interval
[0, 5]</span><span>Slope of line through the points
(0, 16) and (4, 21)
m = (21 - 16) / (4 - 0) = 5/4</span>Average Rate of Change over the interval [0,4]
Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).
Y-5=3-9(y+2). so so u are going to distribute-9 to y and 2 which is -9y-18
so u are going to add like terms 3 and -18 which is -15. so the next step is going to be y-5=-9y-15 so u are going to add 5 to -5 and -15 to balance the equation and u will get -10 . y=-9y -10. since u are multiplying -9 by y so have to expand it y= -9 * y -10. so u have to divide y by y to get y . -9-10= -19 soo y =-19
<span>The reference angle is closest to the x-axis.
I will assume the above is 7pi/6. That would be a reference angle of pi/6, and the sin in the 3rd quadrant is negative, so the sin theta = - 0.5</span>
