Question

question 8 (1 point)
graphs of logarithmic functions will always have exactly one vertical asymptote and graphs of exponential functions will always have exactly one horizontal asymptote.
true
false
the test is open 10:35 am to 12:35 pm; please submit before the end of class. if you do not submit, then the test will automatically submit for you and any unsaved work will be lost!
previous page next page
page 8 of 21

Explanation:

Logarithmic functions \(y = \log_a(x - h)+k\) have a vertical asymptote at \(x = h\) (since \(x>h\) for the domain). Exponential functions \(y=a\cdot b^{x - h}+k\) have a horizontal asymptote at \(y = k\) (as \(x\to\pm\infty\), \(b^{x - h}\to0\) if \(|b|<1\) or \(b^{x - h}\) is bounded in a way that \(y\) approaches \(k\)).

Answer:

True