Answer:
Using function concepts, we have that:
1. Non-linear
2.
B)
x y
0 1
1 2
2 5
3 10
3. Linear
4.
: Linear
: Linear
: Non-Linear
: Linear
5. Linear
In a linear function, the rate of change is constant.
A linear function is also of the first degree.
Item 1:
From -3 to -1, the rate of change is of
From -1 to 1, the rate of change is of .
Different rates of change, so non-linear.
Item 2:
At function b, from 0 to 1, the rate of change is of 1, from 1 to 2 of 3, different rates of change, so non-linear.
Item 3:
Highest degree of x is 1, so first degree, and thus linear.
Item 4:
The only non-linear is , which is of the second degree.
is a constant function, with a rate of change of 0, so linear.
The last function is written as:
Highest degree of x is 1, so also linear.
Item 5:
In all cases, the rate of change is constant, so linear
Step-by-step explanation: