To find the smallest positive integer value of x where y = 2^x exceeds the linear function defined by the following table, we first need to create a table to compare the two functions.
Let's first look at the linear function defined by the table.
|x | y |
|---|---|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12|
| 5 | 15|
Now let's calculate the values of y = 2^x for the same values of x.
|x | y = 2^x |
|---|----------|
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 16 |
| 5 | 32 |
From the table, we can see that the smallest positive integer value of x where y = 2^x exceeds the linear function is x = 5, where y = 32.
Therefore, the smallest positive integer value of x is 5 and the corresponding value for y is 32.
2.
ITEM 12
What is the smallest positive integer value of x where
y=2
x
exceeds the linear function defined by the following table? What is the corresponding value for y?
Hint: Make a table to compare each function.
1 answer