How does f(x) = 3^x change over the interval x=4 to x=5
A) ƒ(x) increases by 3
B) ƒ(x) decreases by 3
C) ƒ(x) increases by a factor of 3
D) ƒ(x) decreases by a factor of 3
Answer B) possibly.
f(4) = 3^4
f(5) = 3^5
3^5 = 3^4 * 3, right?
You clearly just guessed.
which was the answer again?
NVM the answer is C)
To determine how the function f(x) = 3^x changes over the interval x=4 to x=5, we need to evaluate the function at these two values and compare the results.
When x = 4, we have f(4) = 3^4 = 81.
When x = 5, we have f(5) = 3^5 = 243.
Comparing these two values, we can see that f(5) is greater than f(4), meaning that the function f(x) = 3^x increases over the interval x=4 to x=5.
Therefore, the correct answer is not B) "ƒ(x) decreases by 3", but rather C) "ƒ(x) increases by a factor of 3".