1) (2 points each) Short answer.
(a) Explain the difference between the vertical line test and horizontal line test.
(b) Let f be a one{to{one function, with domain [-1,14] and range (0,5). What is the domain and range of f-1?
(c) Write log72401 = 4 in exponential form.
(d) Let f be a one{to{one function where f(-3) = 18. What is f-1(18)?
(e) Explain how the exponential function base a and the logarithmic function base a are related.
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1) (2 points each) Short answer. (a) Explain the difference between the vertical line test and...
Option 1: Explain in your own words the difference between the domain of a function and the range of a function. Provide an example for explaining how to find domain of an equation (use equation editor). Provide a visual example of a graph using the "insert image" feature and explain how to find the domain and range from the graph. Last, present a problem for your peers so they may practice identifying domain and range. Make sure to check on...
please write neatly! 9. In this problem, is the relation a function? Why or why not? Be specific in your answer. show your work 4 》 f(x) 》 1 5 》 f(x) 》 2 5 》 f(x) 》 3 6 》 f(x) 》 6 11. Vertical Line Test, what are the domain and range of an constant function》 it's a horizontal line. it only hits one point so it's a function.
1- Write an equation of the line satisfying the given conditions. Write the answer in standard form with no fractional coefficients. Passes through (4, 4) and is perpendicular to the line defined by -5x + 4y = -6. 2- A fireworks mortar is launched straight upward from a pool deck platform 4m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by where h(t) is the height in meters and t is...
3. (25 points) Let f(x) = 2/2_8 (a) Find the domain of f. (b) Find the equation of all vertical asymptotes or explain why none exist. For each vertical asymptote = a, calculate both the one-sided limits limo+a+ f(x) and limo-ha-f(T). (c) Find the equation of all horizontal asymptotes or explain why none exist. C Bollett. ollett (d) Let g(x) = f(x) if x 70 For what value of b would g(x) be continuous at I=0? (or if no 91...
(pleasseeee do not take a picture, need this typed out) What is the difference between a relation and function? Discuss how to find the domain and range of a function. What test can you use to identify a function on a graph? Explain how to use it. Create one function and ask your peers to find the domain and range. Ask them to discuss the shape of the graph. Return to the Discussion to check your peers’ understanding and offer...
IL. Write short notes on the following statements:(Total 10 points, 5points each) 1. Explain the difference between line authority and staff authority. What type of authority do human resource managers have? 2.In some business situations, a person's race, nationality or religion may be a requirement for a job. Give some examples.
4. (5 points each) For function f(1) = 2-*+1+3, (a) Write down the steps of graph transformation from y=2 to f(1). (b) What is the domain and range for f(x)? (c) What is the horizontal asymtote for f(x)? (d) Create a table and evaluate at least three points and sketch the graph of f(x).
i need help with these questions! struggling with them! Name: Tuesday, June 11, 2019 Homework 2 Due: Tuesday, June 18, 2019 Show all work. Credit will not be given for partial answers. 1. Find all vertical and horizontal asymptotes for the following functions using limits. f(x) 22r +2 f(x) = r+5 z2-3r 1 g(r) q(z) 1 3-52+6x 2. What is the degree of the given polynomial? -2+ x -1 f(x)= x+ 1 +5 f(z) = y + h(z) 100r2 +20...
1. SHORT ANSWER QUESTIONS 1. Explain why utility maximization requires that a consumer's budget is allocated so that the marginal utility per dollar of expenditure is the same for each good. 2. Theresa likes to talk on the telephone. We can represent her preferences with the utility function U(B,J)12B 24J, where B and J are minutes of conversation per month with Bill and Jackie respectivcly. What is the formula for her indiffcrencc curve to get U units of utility (that...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion