Question 9 • Advanced Algebra: Concepts and Connections
Which is the graph of a logarithmic function?
Answer
A
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a hyperbola. The curve above the x-axis has a vertex at (4 comma 1) and the curve below the x-axis has a vertex at (2 comma negative 1).
B
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a curve that originates from (0 comma negative 2 point 5), moves up, and intersects the x-axis at (1 comma 0). It passes through (3 comma 1) and (8 comma 2).
C
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a parabola that opens upwards, with a vertex at (4 comma 0). It passes through (2 comma 4) and (6 comma 4).
D
Image with description On a coordinate plane, the x-axis lists negative 2 to 8 by 1, and the y-axis lists negative 5 to 5 by 1. The graph has a straight line with a negative slope that has an x-intercept at (3 comma 0) and a y-intercept at (0 comma 3).