1.)Show and explain the stepsto Find the range of r(x) if given the function r(x)=5x+2/x-1Find the range of h(x)=2x+1/x-31.)Given f(x)=6x^4-10x^3-4x^2a)State the degree of the given functionb)Find all the zeros of the function and state its graph crosses or touches the x-axis at the zero.c)Use the sign table to determine the intervals where graph of y=f(x) lies above the x axis and where f(x) lies below the x-axis.d)Sketch the graph of f(x)2)Given p(x)=x^3(2x+1)(x-1)^4a)State the degree of the given functionb)Find the y-intercept of p(x)c)Find all zeroes of the functiond)Give the multiplicity of all zeroes (x-intercepts) and state if the graph crosses or touches at the zeroese)State the intervals where the graph of p(x) lie above the x-axis3.)Let f(x)= 1-x^2 if x 2x+1 if x >0A)Evaluate f(-2) and f(1)b)Sketch the graph4.)Given -|x| if -2-x^2 if 1
if x> equal to 2Find a)g(1)b)g(5)c)domain of g(x)sketch the graph of g(x) 5.)Given f(x)= -1 if -2
Square root x (put x only under the square root)-1 if 1
3-x if x> equal to 4 Find:a) f(6) b)f(-2) c)f(1) d)Domain of f(x) What points to use to Sketch the graph of f(x) 5)state the transformations applied to the graph of f(x)=|x| to obtain the graph of g(x)=-2|x-3|+1 ii)Sketch the graph.Show and label at least 3 points of transformations used to draw your graph. Consider the polynomial p(x)=2x^3+x^2-13x+6a)Show using synthetic division that x=2 is a zero of p(x) (b)then factorize the quotient in a to find the other zeros of p(x)c)Find the y interceptf)Sketch the graph