To find the smallest positive integer value of x where the function y=2^x exceeds the linear function, we first need to create a table to compare the two functions.
The linear function is not explicitly given in the question, so let's create a sample table to compare:
x | y (2^x) | Linear Function
-----------------------
1 | 2 | 1x + b
2 | 4 | 2x + b
3 | 8 | 3x + b
4 | 16 | 4x + b
5 | 32 | 5x + b
We can see that the linear function will be of the form y = mx + b, where m is the slope and b is the y-intercept.
Now, for the exponential function y = 2^x, we can see that it will exceed the linear function at x=3, where y=8.
Therefore, the smallest positive integer value of x where y=2^x exceeds the linear function is at x=3 and the corresponding value of y is 8.
.
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
7 answers