These problems will not le turned in or graded I cannot stre

These problems will not l>e turned in or graded. I cannot stress enough that you need to work on these problems yourself. It\'s fine to get help when you really need it (office hours. tutoring lairs), but you need to give these problems genuine effort first. If you ignore these problems or have someone explain them to you step-by-step, then you should not export to pass the exams. For the graphing problems, you should try to graph by hand firs.1 and then use a calculator or website to check the accuracy of your graph. Determine whether the following expiations give y as a function of x and give reasons for your determination. 3y - 2x + 1 = 0 2y^2 - x + x^2 - 1= 0 x -2 = plusminus squareroot y (y -3)^3 -= x +1 x/y =2 Find the local maximum of f(x) = 5 - x + 3x^2. Graph f(x) = 4 - x - 3x^2, showing the vertex and intercepts. Is this even, odd. or neither? Graph f(x) - (2z - 5)(x + 2)(x - 1) using the intercepts. Label where the local min/max are on the graph, but don\'t try to find the coordinates. Is this even. odd. or neither? Graph f(x) = 2x^4 + x - 1 by plotting and explain whether it is even, odd or neither in terms of the graph and in terms of the equation. Label the locations of the min/max. Graph y = f[x^2]. Find the slope of the line that goes through (-2,4) and (2.-17). Kind the intercepts of -2x + 5y = 8. Kind the equation of tin- line that is perpendicular to 2x - y = 5 and goes through (1.3). Kind the domain and range of f(x) = squareroot x^2 - 3. Let f(x) 2/x + 2 and g(x) x^2 - 11. Kind the equation and domain for fog and go f. g Kind the inverse of f(x) = x - 2/x + 1, giving the formula, domain, and range Find the inverse of f(x) = 3x^2 - 5x. giving the formula, domain, and range.

Solution

1. a) 3y -2x +1 =0

y = (2x-1)/3

y is function of x because for every x value there is no more than a y value.

b) 2y^2 -x +x^2 -1 =0

2y^2 = x -x^2 +1

y= +/- sqrt{(x -x^2 +1)/2}

y is not a function of x there is more than one y for even one value of x, then the relation is not a function..

c) x -2 = +/-sqrty

taking square of both sides:

(x-2)^2 = y

It is function as for every x value there is no more than a y value.

d) ( y-3)^3 = x+1

y is not a function of x there is more than one y for even one value of x, then the relation is not a function..

e) x/y =2

y = x/2

It is function as for every x value there is no more than a y value.