Questions: Determine the values of x for which the function f(x) = 7/(x^2 - 49x) is continuous. If the function is not continuous, determine the reason. Where is the function continuous or not continuous? A. The function is continuous for all values of x between 0 and 7. B. The function is continuous for all values of x. C. The function is not continuous at x=0 and x=49. D. The function is continuous for all values of x greater than 0. E. The function is not continuous at x=7. F. The function is not continuous at x=49. G. The function is not continuous at x=0. H. The function is continuous for all values of x less than 7. Why is the function continuous or not continuous? A. The function exists for all points and any small change in x produces only a small change in f(x). B. The function does not exist at the point x=0 and a small change in this value may produce a large change in f(x). C. The function does not exist at the points x=49. D. The function does not exist at the points x=0 and x=49 and a small change near these values of x may produce large changes in f(x). E. The function does not exist at the point x=7.

Transcript text: Determine the values of $x$ for which the function $f(x)=\frac{7}{x^{2}-49 x}$ is continuous. If the function is not continuous, determine the reason. Where is the function continuous or not continuous? A. The function is continuous for all values of $x$ between 0 and 7 . B. The function is continuous for all values of x . C. The function is not continuous at $\mathrm{x}=0$ and $\mathrm{x}=49$. D. The function is continuous for all values of x greater than 0 . E. The function is not continuous at $x=7$. F. The function is not continuous at $\mathrm{x}=49$. G. The function is not continuous at $\mathrm{x}=0$. H. The function is continuous for all values of $x$ less than 7 . Why is the function continuous or not continuous? A. The function exists for all points and any small change in $x$ produces only a small change in $f(x)$. B. The function does not exist at the point $x=0$ and a small change in this value may produce a large change in $f(x)$. C. The function does not exist at the points $\mathrm{x}=49$. D. The function does not exist at the points $x=0$ and $x=49$ and a small change near these values of $x$ may produce large changes in $f(x)$. E. The function does not exist at the point $x=7$.