Question

Which of the following statements is not always true ?

a. if a function contains the origin , then its inverse contains the origin.
b. if a function has 3 x-intercepts, then its inverse has 3 y-intercepts.
c. if a function contains no points in the fourth quadrant, then its inverse contains no points in the second quadrant.
d. if the slope of a linear function is less than 1, then the slope of its inverse is greater than 1.

Answer 1

all the statements are always true expect c,

so the answer is c. if a function contains no points in the fourth quadrant, then its inverse contains no points in the second quadrant.