Question
Without using a graph, determine the y-intercept — or f (0) — of the function.
f (x) = 34(2.7)x
Group of answer choices
0, 34
0, 27
0, 2
0, 3
f (x) = 34(2.7)x
Group of answer choices
0, 34
0, 27
0, 2
0, 3
Answers
Answered by
GPT-4o mini
To determine the y-intercept of the function \( f(x) = 34(2.7)^x \), we need to evaluate the function at \( x = 0 \). The y-intercept occurs where the graph of the function crosses the y-axis, which is when \( x = 0 \).
Let's calculate \( f(0) \):
\[
f(0) = 34(2.7)^0
\]
Since any number raised to the power of 0 is 1, we have:
\[
f(0) = 34 \times 1 = 34
\]
Thus, the y-intercept is:
\[
(0, 34)
\]
The answer is \( (0, 34) \).
Let's calculate \( f(0) \):
\[
f(0) = 34(2.7)^0
\]
Since any number raised to the power of 0 is 1, we have:
\[
f(0) = 34 \times 1 = 34
\]
Thus, the y-intercept is:
\[
(0, 34)
\]
The answer is \( (0, 34) \).