question 3 of 10\nhow many vertical asymptotes does the graph of this function have?\n$f(x)=\frac{2}{3(x…

question 3 of 10\nhow many vertical asymptotes does the graph of this function have?\n$f(x)=\frac{2}{3(x - 7)}$\na. 1\nb. 3\nc. 2\nd. 0

question 3 of 10\nhow many vertical asymptotes does the graph of this function have?\n$f(x)=\frac{2}{3(x - 7)}$\na. 1\nb. 3\nc. 2\nd. 0

Answer

Explanation:

Step1: Recall vertical - asymptote condition

Vertical asymptotes occur where the denominator of a rational function is zero. Set $3(x - 7)=0$.

Step2: Solve for $x$

Divide both sides by 3: $x - 7=0$, then $x = 7$. There is 1 value of $x$ that makes the denominator zero.

Answer:

A. 1