Question

pls help

Use point by point plotting to sketch the graph of the equation and state if the equation specifies a function. (Explain why or why not.) (b) 2 y2 4 Find the domain and range of each function (a) f(x)=r4-1 (b) f(x)= 2 (c) f(x)=V 48 (d) f(x)= Let f(x) = x2-8 and simplify the following expressions entirely: (a) f(r +h) r-2 +1 (c) Leth fe Repeat the previous problem for f(x) = 2.3-x. Starting with f(r) = r2, state what transformations you would use to get the equationf() -2(-4) What do the graphs look like step by step? Repent the previous problen starting withand ending wth r and ending with

Answer 1

(a) Substitute different values of x in y-x to get different values of y x432-10123 4 5 ' |-64 |-27 |-8|-| | 0 | 1 | 8 | 27 | 64 | 125 The graph is shown below which is obviously a function. (b) Substitute different values of x iny4 to get different values of y x-1/20 1/2 1 15 15 Since each value of x have more than one values ofy so the equation x +1 is not a function. Note that the equation y4 reents a circle. (c) Substitute different values of x in yto get different values of y or x31(Vertical asymptote) 23 y-1/4-1/3 not defined 11/2 The equation y represents a

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