{"id":20179,"date":"2024-04-15T05:49:26","date_gmt":"2024-04-15T05:49:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=20179"},"modified":"2024-04-15T05:49:26","modified_gmt":"2024-04-15T05:49:26","slug":"at-t-0-the-function-textfleft-textt-right-fracsin-textttextt-has-a-a-minimum-b-a-discontinuity-c-a-point-of-inflection-d-a-maximum","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/at-t-0-the-function-textfleft-textt-right-fracsin-textttextt-has-a-a-minimum-b-a-discontinuity-c-a-point-of-inflection-d-a-maximum\/","title":{"rendered":"At t = 0, the function \\[{\\text{f}}\\left( {\\text{t}} \\right) = \\frac{{\\sin {\\text{t}}}}{{\\text{t}}}\\] has A. a minimum B. a discontinuity C. a point of inflection D. a maximum"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;a minimum&#8221; option2=&#8221;a discontinuity&#8221; option3=&#8221;a point of inflection&#8221; option4=&#8221;a maximum&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: A. a minimum.<\/p>\n<p>The function $f(t) = \\frac{\\sin t}{t}$ is continuous for all real numbers. It has a horizontal asymptote at $y = 0$. The function has a minimum at $t = 0$, where $f(0) = 0$.<\/p>\n<p>A minimum is a point on a graph where the function value is lower than the values of the function on either side of the point. In other words, a minimum is a point where the function is decreasing and then starts increasing.<\/p>\n<p>A discontinuity is a point on a graph where the function is not continuous. There are two types of discontinuities: removable discontinuities and non-removable discontinuities. A removable discontinuity is a point where the function can be made continuous by changing the value of the function at that point. A non-removable discontinuity is a point where the function cannot be made continuous by changing the value of the function at that point.<\/p>\n<p>A point of inflection is a point on a graph where the concavity of the graph changes. In other words, a point of inflection is a point where the graph goes from concave up to concave down or vice versa.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;a minimum&#8221; option2=&#8221;a discontinuity&#8221; option3=&#8221;a point of inflection&#8221; option4=&#8221;a maximum&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[690],"tags":[],"class_list":["post-20179","post","type-post","status-publish","format-standard","hentry","category-calculus","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>At t = 0, the function \\[{\\text{f}}\\left( {\\text{t}} \\right) = \\frac{{\\sin {\\text{t}}}}{{\\text{t}}}\\] has A. a minimum B. a discontinuity C. a point of inflection D. a maximum<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/at-t-0-the-function-textfleft-textt-right-fracsin-textttextt-has-a-a-minimum-b-a-discontinuity-c-a-point-of-inflection-d-a-maximum\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"At t = 0, the function \\[{\\text{f}}\\left( {\\text{t}} \\right) = \\frac{{\\sin {\\text{t}}}}{{\\text{t}}}\\] has A. a minimum B. a discontinuity C. a point of inflection D. a maximum\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;a minimum&#8221; 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