The entire graph of the functionfis shown in the figure below. Write the domain and range of fas intervals or unions of intervals. 4- domain = (0,0) (0,0) (0,0) range = [0,0) の DUO 00 -00 -2 の
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- Activity 2: Let us try to find where a function is increasing or decreasing given the following. 1. f(x) = x3−4x, for x in the interval [−1,2]2. h(x)=−x3 + 3x2 + 93. y = 2x – 5 on interval ( - ∞, ∞)Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite, or none of these) and whether the function is left- or right-continuous f(x)= 1 / (ex - e- x )1. The graph of a function y=f(x) always crosses the y-axis. True or False2. Every graph represents a function.A. the statement is true because every graph associates a unique x-value for each y-valueB. the statement is true because every graph associates a unique y-value for each x-valueC. the statement is false because a graph that crosses the x-axis two times does not represent a functionD. the statement is false because a graph that crosses the y-axis two times does not represent a functionI need those answers solution
- Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results y = (x + 1)2 − 3(x + 1)2/3Determine the points of discontinuity. State the type of discontinuity (removable, jump, infinite, or none of these) and whether the function is left- or right-continuous (x^3-2)^(3/2)) a definition of a Piecewise Function 2) how to evaluate a piecewise defined function
- Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results y = (x2 + 1)/(x2 − 4)Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes y = 4x2 − 8x + 2 x-intercept (smaller x-value) (x, y) = x-intercept (larger x-value) (x, y) = y-intercept (x, y) = relative maximum (x, y) = relative minimum (x, y) = point of inflection (x, y) = horizontal asymptote vertical asymptoteprove that f(x) = x2+1, h(x) = 2x +1 and g(x) = x2+ x are equal functions. Also Find Domain and range of all function.Explain with the hel of diagram