Consider the function f (x)=3* - 6, identify the following key features: State the domain using...
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm
g) Sketch the graph...
2-5x 3+2x The function fx)i on-to-one (a) Find the inverse of f (b) State the domain and range of f. (c) State the domain and range of f (a) What is the inverse of f? Simplify your answer. Use integers or fraction for any numbers in the expression.) (b) What is the domain and range of f? The domain of fis (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of...
-2 The equation for this function is f(x)- The domain of this function in interval notation is The range of this function in interval notation is 24 The equation for this function is f(x) The domain of this function in interval notation is The range of this function in interval notation is □ ty 4 2 4 6 8 The equation for this function is f(x) = The domain of this function is The range of this function is 8...
4) Identify the following key features/properties using intervals only: intervals when the function is positive/negative, intervals when the function is increasing/decreasing, intervals when the slope of the function is positive/negative, and intervals when the slope of the function is increasing/decreasing do the questions.) All calculations must be performed using exact values (fractions and radicals) cm Part A - Knowledge/Understanding and Application, Making Connections 1) Sketch the rational function f(x) hand: domain, intercepts, asymptotes, and behavior near the asymptotes. You would...
Find the inverse function of the function f. Find the range off and the domain and range of f(x) = 7 sin (5x-3); Find the inverse, " off. (Simplify your answer. Use integers or fractions for any numbers in the expression.) The range of f(x)is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
Find the inverse function f of the function f. Find the range off and the domain and range of f1 f(x) = - tan (x+5)-1; -50<x< -5 Find the inverse, " off. (Use integers or fractions for any numbers in the expression.) The range of f(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any...
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.:
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
Select the graph of one complete period of the function. Identify the x-intercept and evaluate the function forx-values midway between the x-intercept and the asymptotes. Express all your answers as ordered pairs. Part 1 out of 6 a. y = 4cot (ax) Over the domain (0, 1), the function has an x-intercept at