Question

The function g(x) is graphed.

On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5).

Which statements about the function are true? Choose three options.

g of 1 = negative 1
g of 0 = 0
g of 4 = negative 2
g of 1 = 1
g of negative 1 = 1

Answer 1

True are: g(0) = 0, g(1) = 1, and g(−1) = 1.

Reason: the graph passes through (0,0) so g(0)=0; the curve rises from 0 to 5 symmetrically, giving the points (1,1) and (−1,1), so g(1)=g(−1)=1. The other choices are not on the graph (g(1)=−1 is wrong, and g(4) is outside the shown domain).