Consider the function

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

y=\log_{7} x

. Which of the following statements about its graph are correct? (1) It has a vertical asymptote at

x=0

. (2) It passes through the point

(0,1)

. (3) The curve is concave downward. (4) The function is decreasing for

x>0

. Write the numbers of all correct statements.