Questions: You are given a table showing input and output values for a given function (y1=f(x)). Use the table to answer the question. What is the (y)-intercept of the graph of (y=f(x)) ? (X) (Y 1) 0.00 7.00 1.00 10.00 2.00 13.00 3.00 16.00 4.00 19.00 5.00 22.00 (X=0) A. 0 B. 10 C. 7 D. 1

You are given a table showing input and output values for a given function (y1=f(x)). Use the table to answer the question.
What is the (y)-intercept of the graph of (y=f(x)) ?

(X) (Y 1)
0.00 7.00
1.00 10.00
2.00 13.00
3.00 16.00
4.00 19.00
5.00 22.00
(X=0)

A. 0
B. 10
C. 7
D. 1

Transcript text: You are given a table showing input and output values for a given function $y_{1}=f(x)$. Use the table to answer the question. What is the $y$-intercept of the graph of $y=f(x)$ ? \begin{tabular}{|c|c|c|} \hline$X$ & $Y 1$ & \\ \hline 0.00 & 7.00 & \\ 1.00 & 10.00 & \\ 2.00 & 13.00 & \\ 3.00 & 16.00 & \\ 4.00 & 19.00 & \\ 5.00 & 22.00 & \\ \hline$X=0$ & & \\ \hline \end{tabular} A. 0 B. 10 C. 7 D. 1

Solution

Solution Steps

To find the y-intercept of the graph of $ y = f(x) $, we need to determine the value of $ y $ when $ x = 0 $. From the given table, we can directly observe the output value corresponding to the input $ x = 0 $.

Step 1: Identify the y-intercept

To find the y-intercept of the function $ y = f(x) $, we need to determine the value of $ y $ when $ x = 0 $. This is because the y-intercept is the point where the graph of the function crosses the y-axis, which occurs when $ x = 0 $.

Step 2: Extract the y-value for $ x = 0 $

From the given data table, we observe that when $ x = 0.00 $, the corresponding $ y $-value is $ 7.00 $.