[amp_mcq option1=”at all real values of x” option2=”only at positive integer values of x” option3=”only at negative integer value of x” option4=”only at rational values of x” correct=”option1″]<\/p>\n
The correct answer is A.<\/p>\n
The function $f(x) = x^2 = x + x …… x$ times, is defined at all real values of $x$. This is because the expression $x + x …… x$ times is simply $x^2$, which is defined for all real values of $x$.<\/p>\n
Option B is incorrect because the function is defined for negative integer values of $x$ as well. For example, $f(-1) = (-1)^2 = 1$.<\/p>\n
Option C is incorrect because the function is defined for rational values of $x$ as well. For example, $f(1\/2) = (1\/2)^2 = 1\/4$.<\/p>\n
Option D is incorrect because the function is defined for irrational values of $x$ as well. For example, $f(\\pi) = (\\pi)^2 = \\pi^2$.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”at all real values of x” option2=”only at positive integer values of x” option3=”only at negative integer value of x” option4=”only at rational values of x” correct=”option1″]<\/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-20270","post","type-post","status-publish","format-standard","hentry","category-calculus","no-featured-image-padding"],"yoast_head":"\n