Find the domain and Range of Absolute-Value function: `f(x) = |x| = {(x, "if" x gt 0),(0,x= 0),(-x, " if " x lt0):}`

Find the domain and range of the following function f(x)=2-3x, x in R,x gt 0

If f(x) = {(x-1,",", x lt 0),(1/4,",",x = 0),(x^2,",",x gt 0):}

Find the domain and range of the function: f(x) = {(x^(2),"when " x lt 0),(x,"when " 0 le x le 1),((1)/(x),"when " x gt 1):}

The function {:(f:R to R:f(x) = 1, if x gt 0),(" "= 0, if x =0),(" "=-1, if x lt0is a):}

Find the maximum and minimum values of the function f(x) = x+ sin 2x, (0 lt x lt pi) .

Draw the graph of the function: f(x) = {(x," if " x le 0),(x^(2)," if " 0 lt x le 2),(x," if " x gt 2):}

Find the domain of definition of the function f(x) = sqrt(a^(2) - x^(2)), a gt 0 .

What is the range of the function f(x)=(|x|)/(x), x ne 0?

Discuss the continuity of the function f(x) ={(x", " x ge 0),(2", "x lt0):} at x=0

Domain and range of the realtion R={(x,y) : [x]+[y]=2, x gt 0, y gt 0} are