Question

Which is the graph of a logarithmic function?
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
On a coordinate plane, a straight line is shown.
On a coordinate plane, a hyperbola is shown.
On a coordinate plane, a parabola is shown.

Answer 1

The first one: the curve that starts in quadrant IV and curves up into quadrant I.

Reason: y = log(x) is defined only for x>0, has a vertical asymptote at x=0, goes to −∞ as x→0+ (in QIV) and increases through (1,0) to +∞ as x→∞ (in QI).