Question

State whether the graph of f(x)= (x^3 + 7x^2 + 10x)/(x+5) has infinite discontinuity, jump discontinuity, point discontinuity, or is continuous.

Answer 1

looking at the equation notice that denominator has (x+5)
for x = -5 the value of the denominator will be 0
so i see a point discontinuity as the value of the whole equation will become undefined (divide by 0 is undefined)

Answer 2

That's what I was thinking, but I wasn't sure. Thank you! :)

Answer 3

u welcome