which graph represents a function with an initial value of \\(\\frac{1}{2}\\)?
which graph represents a function with an initial value of \\(\\frac{1}{2}\\)?
Answer
Explanation:
Step1: Understand Initial Value
The initial value of a function (at ( x = 0 )) is the ( y )-intercept, i.e., the value of ( y ) when ( x = 0 ). We need to find the graph where ( y(0)=\frac{1}{2}=0.5 ).
Step2: Check Each Graph's ( y )-intercept
- First graph: ( y(0) = 0.25 ) (not 0.5).
- Second graph: ( y(0) = 0.4 ) (not 0.5).
- Third graph: ( y(0) = 0.5 ) (matches ( \frac{1}{2} )).
- Fourth graph: ( y(0) = 0.6 ) (not 0.5).