1.9.3 quiz: finding vertical asymptotes given the graph of the function f(x) below, what happens to f(x)…

1.9.3 quiz: finding vertical asymptotes given the graph of the function f(x) below, what happens to f(x) when x is a small positive number? a. f(x) is a very small positive number. b. f(x) is a negative number with a large absolute value. c. f(x) is a very large positive number. d. f(x) is a negative number with a small absolute value.

1.9.3 quiz: finding vertical asymptotes given the graph of the function f(x) below, what happens to f(x) when x is a small positive number? a. f(x) is a very small positive number. b. f(x) is a negative number with a large absolute value. c. f(x) is a very large positive number. d. f(x) is a negative number with a small absolute value.

Answer

Explanation:

Step1: Observe the graph near x = 0+

As x approaches 0 from the positive - side (x is a small positive number), we look at the y - values of the function F(x).

Step2: Analyze the trend

The graph of the function F(x) shoots up towards positive infinity as x approaches 0 from the positive side. So, F(x) takes on very large positive values.

Answer:

C. F(x) is a very large positive number.