The value of the cosine function is positive in the first and fourth quadrants (remember, for this diagram we are measuring the angle from the vertical axis), and it's negative in the 2nd and 3rd quadrants Now let's have a look at the graph of the simplest cosine curve, y = cos x (= 1 cos x) π 2π 1 1 x yExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music Graph as y = (2x)/(x4) by establishing a few data points with random values of x and noting the asymptotic limits at y=2 and x=1 The asymptotic limit x=1 should be obvious from the expression (since division by 0 is undefined) y=(2x)/(x1) is equivalent to y=2/(11/x) provided we ignore the special case x=0 As x rarr oo color(white)("XXXX")1/x rarr 0 and color(white)("XXXX")y=2/(11/x) rarr 2/1 = 2
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Y=1/x^2 graph
Y=1/x^2 graph-Name the transformation (s) and the type of graph y = 1/3 (x5) 3 2 Definition reflection, stretch, shift right, shift up 2 cubic Term Name the transformation (s) and the type of graph y = 3 (x5) 3 7 Definition shrink, shift left 5, shift down 7 cubicFor the reciprocal squared function latexf\left(x\right)=\frac{1}{{x}^{2}}/latex, we cannot divide by latex0/latex, so we must exclude latex0/latex from the domain There is also no latexx/latex that can give an output of 0, so 0 is excluded from the range as well Note that the output of this function is always positive due to the square in the denominator, so the range



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Graph the parabola, y =x^21 by finding the turning point and using a table to find values for x and yCalculate gradients and intercepts of the graphs and then plot them to check Solve problems involving direct and inverseCheck this out mathy = \left x 1 \right \left x 2 \right /math So, equate both the linear expressions with 0 And the resulting value
What does it mean when it says, "plot Y vs 1/X" (this is a physics question)?Add 0 0 and 1 1 Substitute the values of a a, d d, and e e into the vertex form a ( x d) 2 e a ( x d) 2 e Set y y equal to the new right side Use the vertex form, y = a ( x − h) 2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k kBrief Tutorial on Using Excel to Draw an XY Plot The following tutorial is based on using Windows Office 03 Earlier versions work similarly, but you may find the placement of controls on the menu to be slightly different 1 Open Excel 2 For our tutorial, we will plot the data (5,25), (6, 36), (7,49), (8,64), (9,81), (10,100)
Also, if there is more than one exponential term in the function, the graph may look differentThe following are a couple of examples, just to show you how they work Graph y = 3×2 –x2 Because the power is a negative quadratic, the power is always negative (or zero) Then this graph should generally be pretty close to the x axisGraph the parent quadratic (y = x^2) by creating a table of values using select x values The graph of this parent quadratic is called a parabolaNOTE AnyNotice on the next page that the graph of (x)2 is the same as the graph of our original function x 2 That's because when you flip the graph of x over the yaxis, you'll get the same graph that you started with That x2 and ( 2x) have the same graph means that they are the same function We know this as well from their algebra because (1




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The Characteristics Of The Graph Of A Reciprocal Function Graphs And Functions And Simultaneous Equations
Viewed 2k times 1 Does this count as a reciprocal graph or am I mistaken?Algebra Graph y= (1/2)^x y = ( 1 2)x y = ( 1 2) x Exponential functions have a horizontal asymptote The equation of the horizontal asymptote is y = 0 y = 0 Horizontal Asymptote y = 0 yExample of how to graph the inverse function y = 1/x by selecting x values and finding corresponding y values




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See explanantion As you have x^2 then 1x^2 will always be positive So y is always positive As x becomes smaller and smaller then 1/(1x^2) > 1/1 = 1 So lim_(x>0) 1/(1x^2)=1 As x becomes bigger and bigger then 1x^2 becomes bigger so 1/(1x^2) becomes smaller lim_(x>oo) 1/(1x^2)=0 color(blue)("build a table of value for different values of "x" and calculate the appropriate values of y The graphs below are plots of y ( x , t ) vs x for the function y ( x , t ) = a cos b ( x vt ), which represents a wave moving to the left along the horizontal axis Figure (i) represents the wave at time t 1 = 0 and figure (ii) represents the wave at time t 2 = 10 s, before the wave has traveled one full wavelength3x 2y = 1 Plot families of exponential and reciprocal graphs For example y = 2 x, y = 3 x, y = 4 x y = 1÷x, y = 2÷x, y = 3÷x, Reduce a given linear equation in two variables to the standard form y = mx c;




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The graph of y=2 x is shown to the right Here are some properties of the exponential function when the base is greater than 1 The graph passes through the point (0,1) The domain is all real numbers The range is y>0 The graph is increasing The graph is asymptotic to the xaxis as x approaches negative infinityCurves in R2 Graphs vs Level Sets Graphs (y= f(x)) The graph of f R !R is f(x;y) 2R2 jy= f(x)g Example When we say \the curve y= x2," we really mean \The graph of the function f(x) = x2"That is, we mean the set f(x;y) 2R2 jy= x2g Level Sets (F(x;y) = c) The level set of F R2!R at height cis f(x;y) 2R2 jF(x;y) = cg Example When we say \the curve x 2 y = 1," we really mean \TheThe graphs consisting modulus function and linear equations are the simplest ones Wondering How?




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Excel Plot X vs Y We will set up a data table in Column A and B and then using the Scatter chart;The graph of y = log 2 ( x 1 ) will be shifted 3 units down to get y = log 2 ( x 1 ) − 3 You may recall that logarithmic functions are defined only for positive real numbers This is because, for negative values, the associated exponential equation has no solution For example, 3 xX and y axis The xaxis and yaxis are axes in the Cartesian coordinate system Together, they form a coordinate plane The xaxis is usually the horizontal axis, while the yaxis is the vertical axis They are represented by two number lines that intersect perpendicularly at the origin, located at (0, 0), as shown in the figure below




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