compare the functions
function A: y= -3x+2
function B: X / Y
1 /. 4
2 /. 6
3. /. 8
4. /. 10
a. function A is increasing while function B is decreasing AND function B is steeper
b. function A is decreasing while function B is increasing AND function B is steeper
c. function A is decreasing and function B is also decreasing AND function A is steeper
d. function A is decreasing while function B is increasing AND function A is steeper
The correct answer is c. function A is decreasing and function B is also decreasing, AND function A is steeper.
Function A is defined by the equation y = -3x + 2, which is a linear equation with a negative slope of -3. This means that as x increases, y decreases. This indicates that function A is decreasing.
Function B is given as a set of ordered pairs (x, y). Looking at the values provided in the table, as x increases, y also increases. This indicates that function B is increasing.
Additionally, comparing the values in the table, as x increases by 1, y increases by 2. This means that for every unit increase in x, there is a corresponding increase in y of 2. This indicates that function B is less steep compared to function A.