Find the value of constant K that makes the function below continuous at x=5. f(x)={x2−5xx−5 if x<5Kx−3 if x≥5 Continuous Function: A piecewise function is said to be continuous at a point when the o...
Find the values of {eq}a {/eq} and {eq}b {/eq} that make {eq}f {/eq} continuous everywhere. {eq}f(x) = \left\{\begin{matrix} \frac{x^2-4}{x-2} & if x <2 \\ ax^2-bx+1& if 2 \leq x <3\\ 4x-a+b&...
Find the degree, leading term, the leading coefficient, the constant term and the end behavior of g(x) = 3x^5 - 2x^2 + x + 1. g(x) = 3x^5 - 2x^3 + x + 1 Find the following. a) degree b) leading term c) leadin...
Suppose: f(x) = \begin{cases} 3x k & \text{ if } x 5, \\ 1+kx & \text{ if } x \geq 5. \end{cases} Find the value of k that would make f continuous at x = 5 . Find a value of x, if any, at which f (x) = {3 x + 1} / ...
Answer to: If the function f(x) is continuous at x = -5, then find the values of k and a. f(x) = { 4 x + 3 x > -5, a x = -5 , k x +3 x < -5 By...
A function {eq}f(x) {/eq} is continuous at the point {eq}x=x_0 {/eq} if and only if the limit of the function at the point exists, the function is defined at the point, and the limit equals the value of the function, {eq}...
f(x)=5x4−3x+7f(x)=3x−8f(x)=x+2x2+4f(x)=x+2x2−4 Continuity of a Function: A function is said to be continuous at a point of its definition if its graph does not have any break in it i.e. we can...