See explanation. Domain The domain is the largest subset of real numbers RR for which the function is defined. To find it we have to look for any possible values of x for which the function …

The quadratic formula states: For ax2 +bx +c = 0, the values of x which are the solutions to the equation are given by: x = −b ± √b2 −(4ac) 2 ⋅ a Substituting: −8 for a −1 for b −2 for c gives: x …

Feb 1, 2017 · Keep in mind that, in general, we don't allow values inside a square root sign to be negative. So our allowable values of x are: 4-x>=0=> x<=4 The range of a function is the set of …

The point of change is at x=0. This corresponds to where f (x)=x^3 is concave then convex. Graph of f (x)=3x^2 graph {3x^2 [-7.9, 7.904, -3.95, 3.95]} Since the second derivative is the …

5.56 All you need to do is take a calculator then press this sign sqrt then put the number under it.

We can graph the circle x2 + y2 = 18 and x + y = 6 on the same grid. We can see that the line touches the circle at one point, namely (3,3), and thus we can say that the line x + y = 6 is …

The average value therefore is #0#. This makes complete sense if you look at the graph--the function is symmetric about the y-axis, and therefore if #|a| = |b|#, then the average value will …

You have a rational function, where both numerator and denominator are lineal functions, thus, the only way you can get a discontinuity in your graph is by having one point whose image is …

If you're not still convinced the function must cross the straight line, just study g (x) = f (x) + x. g is another function defined in a compact set and by Weierstrass's Theorem it assumes all of its …

Common solution to each factor = 0 is t = 0.5. This is the only solution contributed by cos pit = 0, t in [ 0, 1 ]. The solutions from sin 20pit = 0 are k/20, k =0, 1, 2, ...20#. See graph. The t …