Find the domain of the rational function. Enter your answer in interval notation. To enter oo,...

  

Transcribed Image Text:

Find the domain of the rational function. Enter your answer in interval notation. To enter oo, type infinity. To enter U, type U. f(x) = x-8 x+9 Find the domain, vertical asymptotes, and horizontal asymptotes of the function. Enter the domain in interval notation. To enter oo, type infinity. To enter U, type U. Domain: Vertical asymptotes: The fields below accept a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or +1; x-1). The order of the lists do not matter. I Horizontal asymptotes: f(x) = y= *+6 22-36 Question 7: (4 points) Find the x- and y-intercepts for the function. Enter your answers as points, (a, b). The x-intercept is The y-intercept is Question 8: (4 points) Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Enter the intercepts as points, (a, b). The x-intercept is Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. The y-intercept is Vertical asymptotes: f(x) = Horizontal or slant asymptote: y = Select the correct sketch of the function. x+9 x +16 f(x)= = noitaton levi x-x-6 2-4 The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x-1). The order of the list does not matter. U egy 310 85.0.0) anelcomes yd betongea astumot to eredmun to sell a fqsoos weled ableff erit lemoshot Question 12: (4 points) Use function composition to determine if (x) and g(x) are inverse functions. (a) Yes, they are inverse functions. (b) No, they are not inverse functions. Question 13: (2 points) nismob nevip srit no noilonul erit to seevni orti brit f(x)=x+1 and g(x) = x + 1 (atniog S) A noites nevip no Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Question 14: (2 points) Find the inverse of the function on the given domain. 1(x) = Note: There is a sample student explanation given in the feedback to this question. Question 15: (2 points) Find the inverse of the function. Question 16: (2 points) Find the inverse of the function. enoitonut sanevrl ens (s) bus (3) i onimmeleb of nofflaqmoo noitonul sell f(x) = (x 11)2, [11,00) f-1 (x) f(x) = 12 - 5x Hint: The cube root is the same as an exponent of 1/3, so for 3/19 x, you could type in (19*x)^(1/3). Remember your parentheses! -(x) = = x+2 x+8 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). ion 910 oy ni nisiqxo bm f(x) = toy world (n+1)\(8-0) elgexe 101 assortimeveq nil enotenimonsb bris zioterentun eaclona enqx3 = (189) Question 17: (2 points) Find the inverse of the function. (x) = 15 + 6x 6 Find the domain of the rational function. Enter your answer in interval notation. To enter oo, type infinity. To enter U, type U. f(x) = x-8 x+9 Find the domain, vertical asymptotes, and horizontal asymptotes of the function. Enter the domain in interval notation. To enter oo, type infinity. To enter U, type U. Domain: Vertical asymptotes: The fields below accept a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or +1; x-1). The order of the lists do not matter. I Horizontal asymptotes: f(x) = y= *+6 22-36 Question 7: (4 points) Find the x- and y-intercepts for the function. Enter your answers as points, (a, b). The x-intercept is The y-intercept is Question 8: (4 points) Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Enter the intercepts as points, (a, b). The x-intercept is Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. The y-intercept is Vertical asymptotes: f(x) = Horizontal or slant asymptote: y = Select the correct sketch of the function. x+9 x +16 f(x)= = noitaton levi x-x-6 2-4 The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x-1). The order of the list does not matter. U egy 310 85.0.0) anelcomes yd betongea astumot to eredmun to sell a fqsoos weled ableff erit lemoshot Question 12: (4 points) Use function composition to determine if (x) and g(x) are inverse functions. (a) Yes, they are inverse functions. (b) No, they are not inverse functions. Question 13: (2 points) nismob nevip srit no noilonul erit to seevni orti brit f(x)=x+1 and g(x) = x + 1 (atniog S) A noites nevip no Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Question 14: (2 points) Find the inverse of the function on the given domain. 1(x) = Note: There is a sample student explanation given in the feedback to this question. Question 15: (2 points) Find the inverse of the function. Question 16: (2 points) Find the inverse of the function. enoitonut sanevrl ens (s) bus (3) i onimmeleb of nofflaqmoo noitonul sell f(x) = (x 11)2, [11,00) f-1 (x) f(x) = 12 - 5x Hint: The cube root is the same as an exponent of 1/3, so for 3/19 x, you could type in (19*x)^(1/3). Remember your parentheses! -(x) = = x+2 x+8 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). ion 910 oy ni nisiqxo bm f(x) = toy world (n+1)\(8-0) elgexe 101 assortimeveq nil enotenimonsb bris zioterentun eaclona enqx3 = (189) Question 17: (2 points) Find the inverse of the function. (x) = 15 + 6x 6