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First, let's recall the gradient formula:grad = change in y / change in x = y2 -y1 / x2 - x1So let's label point A as x1, and point B as x2, and find the corresponding y1 and y2 using the equation of the ...

Create a table for x and y x,1,2,3y,1,5,9Draw the line on a graph

Assume 2^(1/3) is rational, so can be written as p/q where p and q are integers with no common factors. p/q = 2^(1/3) (p^3)/(q^3) = 2 p^3 = 2q^3 Hence, p is even. Thus, p can be written as 2r, where r is ...

We know that this is going to be a “U” shaped parabola as the graph is a positive x^2 graph. The y intercept is the point at which x=0. Substituting in 0 gives when x = 0, y = -21.Now we need the x interc...

By completing the square we find that f(x) = x² + 2x + 2 = (x+1)² + 1Since (x+1)² is a number that has been squared, it must be greater than or equal to zero. Therefore, f...