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Evaluate the function f(x) = x2 7x - 6 at the given values of the independent variable and simplify. a. f(6) b. f(x+9) c. f(-x) a. f( 6) = D (Simplify your answer.) Evaluate the function at the given values of the independent variable and simplify. 7x2 1 X2 (a) f(5) (hm5) (GMX) (a) f(5) = E (Type an integer or a fraction. Simplify your answer.) f(x) = Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. f(x) = x2 900 = x2 + 1 m Use the graphing tool to graph the functions. Click to enlarge Use the vertical line test to determine if y is a function ofx in the graph. O y is a function of x O y is not a function of x Use the vertical line test to identify graphs in which y is a function of x. Which of the following statements is correct? 0 y is a function of x O y is not a function of x 9,0 Use the vertical line test to determine if y is a function of x in the graph. Choose the correct answer below. 0 y is not a function of x O y is a function of x Watch the video and then solve the problem given below. Click here to watch the video. Use the graph to determine the following. a. the x-intercepts, if any h. the y-intercept, if any a. What is the x-intercept? Select the correct choice below and, if necessary, ll in the answer box to complete your choice. A. \"D O B. There is no x-intercept. Select Function 3 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. . . . . . Part 1: What is the domain of the function? (Type your answer in interval notation.)Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f( - 2) = ? f(2) = ? X . . . . . a. The domain is . (Use interval notation.)Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f( - 2) = ? f(2) = ? X . . . . . a. The domain is . (Use interval notation.)a. the function's domain b. the function's range c. the x-intercepts, if any d. the yintercept , if any a. the function value indicated below. f(1) Use the graph to determine the following. Ay a _ext question Q a. What is the function's domain? E (Type your answer in interval notation.) Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercept, if any; d. the y-intercepts, if any; a. the function values indicated below. ft ' 3) m) a. What is the domain? E (Type your answer in interval notation.) to Various Ages g(x) = 0.01x2 - 4.9x + 370 model the chance, as a The functions f(x) = - 2.8x + 286 and Chances of 60-Year-Olds Surviving Q percent, that a 60-year-old will survive to age x. The 90 93 Q bar graph to the right shows the chances of E . . . a 75 65 60-year-olds survnvmg to various ages. a 60 if" 3. Find and interpret f(80). "3', 45 b. Find and interpret 9(80). E 30 25 c. Which function serves as a better model for the 5 15 2.7 . . 0 chance of survwlng to age 80? 70 80 90 100 Age a. Select the correct choice below and ll in the answer box(es) to complete your choice. (Simplify your answers.) 0 A- f(80) = D, which means that the chance of a 60-year-old surviving to the age of 80 is |:%. O 3- f(80) = D which means that the chance of a 60-year-old surviving to the age of Cl is 80%. The bar graph to the right shows the wage gap between men and women for selected years from 1980 through 2010. The function G(x) = - 0.01x2 + x + 60 models the wage gap, as a percent, x years after 1980. The graph of function G is shown below the actual data. Use this information to complete parts a and h. f ..... \\ E a. Find and interpret G(10). O A. G(10) = 69, which represents a wage gap of $69,000 in the year 1990. O B. G(10) = 73, which represents a wage gap of 73% in the year 1990. O c. G(10) = 69, which represents a wage gap of 69% in the year 1990. O D. G(10) = 73, which represents a wage gap of $73,000 in the year 1990. Wage Gap (percent) Wage Gap (percent) Wage Gap Between Men and Women 0 1980 1990 2000 2010 Year The Graph of a Function Modeling the Data 5 1D 15 20 25 30 Years after 1980 9,0 99