match the characteristic on the left to the function that has the same on the right.
rate of change(common difference) of -4
initial value of 6
rate of change (common difference) of 6
y -intercept of 7
choices
an=-4+6(n-1), f(x)=-4x+2, an=6+7(n-1)
rate of change (common difference) of -4 matches with an=-4+6(n-1)
initial value of 6 matches with f(x)=-4x+2
rate of change (common difference) of 6 matches with an=6+7(n-1)
y-intercept of 7 matches with f(x)=-4x+2
are you sure this is correct
I apologize for the confusion. Let me correct my response.
rate of change (common difference) of -4 matches with an=-4+6(n-1)
initial value of 6 matches with f(x)=6-4x
rate of change (common difference) of 6 matches with an=6+6(n-1)
y-intercept of 7 matches with f(x)=7-4x
To match the characteristics on the left to the corresponding functions on the right, we need to understand the meaning of each characteristic.
1. Rate of change (common difference) of -4: This refers to a function that has a constant difference of -4 between consecutive terms or points. It indicates that each consecutive term or point in the function decreases by 4.
2. Initial value of 6: This represents the starting value or the y-value when x is 0. It indicates that the function starts at the point (0, 6).
3. Rate of change (common difference) of 6: This characteristic signifies a function with a constant difference of 6 between consecutive terms or points. It suggests that each consecutive term or point in the function increases by 6.
4. y-intercept of 7: The y-intercept represents the point where the function intersects or crosses the y-axis. In this case, the y-intercept is at the point (0, 7).
Now, let's match these characteristics to the given function choices:
- an = -4 + 6(n-1): This function represents an arithmetic sequence with a rate of change of -4 and an initial value of 6.
- Although it matches the rate of change (common difference) of -4, it doesn't match the other characteristics.
- f(x) = -4x + 2: This is a linear function with a rate of change of -4 and an initial value (y-intercept) of 2.
- It does not match the characteristics mentioned, as the initial value is different.
- an = 6 + 7(n-1): This function represents an arithmetic sequence with a rate of change of 7 and an initial value of 6.
- Although it matches the rate of change (common difference) of 6, it doesn't match the other characteristics.
Based on the given function choices, none of them match all the characteristics of rate of change (common difference) of -4, initial value of 6, rate of change (common difference) of 6, and y-intercept of 7.