Question
Consider the graph of the piecewise function y = f(x) pictured below. (a) State the value of f(- 2). (b) State the x-intercept(s), if any. (c) State the y-intercept(s), if any. (d) State the domain of the piecewise function. (e) State the range of the piecewise function. (f) State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing? (g) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing?
Explanation / Answer
Dear Student Thank you for using Cehgg !! Given grah of a piecewise continuous functiion a) From the given graph f(-2) When x = -2 , f(x) = 1 b) x Intercept means when y = 0 in the given f(x), i.e. graph crosses x axis From given graph point of x intercet are (-5,0) (0,0) (3,0) c) Similar to x intercept y intercept are points where graph crosses y axis From given graph point of y intercept are (0,0) d) Domain of piecewise function is from -5