Question

Which statement about the functions is true?

a) Functions 1 and 3 are both decreasing, but function 1 is decreasing at a slower rate.
b) Functions 1 and 3 have the same rate of change, but function 1 has a greater y-intercept.
c) Functions 2 and 3 are both increasing, but function 3 is increasing at a faster rate.
d) Functions 2 and 3 have the same y-intercept and the same rate of change.

Answer 1

Option a is correct: Functions 1 and 3 are both decreasing, but function 1 is decreasing at a slower rate.

Step-by-step explanation:

The correct statement is option a which states that Functions 1 and 3 are both decreasing, but function 1 is decreasing at a slower rate.

This means that as x increases, the values of function 1 and function 3 are both getting smaller. However, function 1 is decreasing at a slower rate compared to function 3.

For example, if we have function 1: y = -2x and function 3: y = -3x, as x increases, both functions are decreasing, but the values of function 1 will be larger than the values of function 3.