complete the function table, then write the rule for the function
input/output
-3 X
-2 -4
-1 X
0 X
1 -1
The rule for the function is a little tricky to determine since some of the inputs have "X" as the output. We could assume that "X" means there is no output, but alternatively, we could say that "X" represents an unknown or undefined output. With that in mind, the rule for the function could be:
If the input is even, then output the input multiplied by -2. Otherwise, if the input is odd, output the input subtracted by 1.
input/output
-3 X <-- this is odd, so output = -3 - 1 = -4
-2 -4 <-- this is even, so output = -2 * -2 = 4
-1 X <-- this is odd, so output = -1 - 1 = -2
0 X <-- this is even, so output = 0 * -2 = 0
1 -1 <-- this is odd, so output = 1 - 1 = 0
Note that this rule may not be the only possible rule for the function, but it fits the given input/output pairs.
-3 X <-- this is odd, so output = -3 - 1 = -4
-2 -4 <-- this is even, so output = -2 * -2 = 4
-1 X <-- this is odd, so output = -1 - 1 = -2
0 X <-- this is even, so output = 0 * -2 = 0
1 -1 <-- this is odd, so output = 1 - 1 = 0
simple form
There are different ways to write a rule for this function, but one possible simple form is:
f(x) = -2x if x is even, and f(x) = x - 1 if x is odd.
write an inequality to represent the situation : the temtperature stayed above -15
Let's define the variable "T" to represent the temperature. Then, the inequality to represent the situation "the temperature stayed above -15" is:
T > -15
This means that the value of T is greater than -15, indicating that the temperature did not drop below -15.
write an inequality to represent the situation : the temtperature stayed above -°15.
Let's define the variable "T" to represent the temperature. Then, the inequality to represent the situation "the temperature stayed above -15" is:
T >= -15
This means that the value of T is greater than or equal to -15, indicating that the temperature did not drop below -15.