Question

Using the graph of the function g(x) = log2 (x – 2), what are the x-intercept and asymptote of g(x)?A. The x-intercept is –3, and the asymptote is located at x = 4.B. The x-intercept is –2, and the asymptote is located at y = 3.C. The x-intercept 3, and the asymptote is located at x = 2.D. The x-intercept is 4, and the asymptote is located at y = 2.

Answer 1

step 1

Step 2

X Intercepts = 3

or (3, 0)

Step 3

Vertical asymptote = 2

Final answer

C. The x-intercept 3, and the asymptote is located at x = 2.