Question

Fill in the blanks:

x increases, y's rate of change for y as a function of x is ____, therefore, the function is _____. For all values of x, the function value y _____ 0. The y-intercept of the graph is the function value y = ______. When x = 6, the function value y = _______.

A) Constant, linear, is, 0, 0
B) Constant, non-linear, is not, 0, 6
C) Constant, linear, is not, 0, 0
D) Variable, non-linear, is, 0, 6

Answer 1

The rate of change of y as a function of x is constant and the function is non-linear, the function value y is not 0 for all x, the y-intercept is 0, and when x = 6, y = 6.

Step-by-step explanation:

The question involves understanding the relationship between two variables, x and y, and how to interpret the features of a graph representing a function. To fill in the blanks: As x increases, y's rate of change for y as a function of x is constant, therefore, the function is linear. For all values of x, the function value y is not 0. The y-intercept of the graph is the function value y = 0. When x = 6, the function value y = 6. The correct answer is B) Constant, non-linear, is not, 0, 6.