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X-intercept
If an intercept crosses the x-axis we will call it as x-intercept.
Y-intercept
Similar, if an intercept crosses the y-axis we will call it as a y-intercept.
Now, as the x-intercept crosses x-axis then the y coordinates of the x-intercept(s) will be zero. Also, the x coordinate of y-intercept will be zero as these points cross the y-axis. These facts give us a way to find out the intercepts for an equation. To determine the x-intercepts for an equation all that we have to do is set y =0 and solve for x. Similarly to find the y-intercepts for an equation we simply have to set x = 0 and solve for y.
Example Sketch the graph of following f( x ) = 2x and g( x ) = ( 1 /2) x Solution Let's firstly make a table of values for these two functions. Following is
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What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)
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(a) Using interpolation, give a polynomial f ∈ F 11 [x] of degree at most 3 satisfying f(0) = 2; f(2) = 3; f(3) = 1; f(7) = 6 (b) What are all the polynomials in F 11 [x] which
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