313,396 views
21 votes
21 votes
The illustration below shows the graph of y as a function of x.

Complete the following sentences based on the graph of the function.
The y-intercept of the graph is the function value y=_____
The smallest positive x-intercept of the graph is located at x=_____
The greatest value of y is y=____ and it occurs when x=____
For x between x and x= 2 π the function value y___ 0

The illustration below shows the graph of y as a function of x. Complete the following-example-1
User Timothy Strimple
by
2.2k points

2 Answers

18 votes
18 votes

Answer:

below

Explanation:

that is the solution above

The illustration below shows the graph of y as a function of x. Complete the following-example-1
User Afollestad
by
2.7k points
17 votes
17 votes

Complete sentences based on the graph of the function are:

The y-intercept of the graph is the function value y = 0

The smallest positive x-intercept of the graph is located at x = π

The greatest value of y is y = 1 and it occurs when x = 1

For x between x and x= 2 π the function value y always greater than 0

Y-intercept: The y-intercept is the point where the line crosses the y-axis. This happens at y=0 in this case, because the line intersects the y-axis at that point.

Smallest positive x-intercept: The x-intercepts are the points where the line crosses the x-axis. There are two x-intercepts in this graph, one negative and one positive. The smallest positive x-intercept is at x=π, because that's the first point where the line crosses the x-axis on the positive side.

Greatest y-value: The greatest y-value is the highest point on the graph. This occurs at the peak of the curve, which is at y=1 and x=0.

Function value between -π and 2π: The function value is the y-value for a given x-value. Between x=-π and x=2π, the line is always above the x-axis. This means that the function value (y) is always greater than 0 for those values of x.

User Shawn Ramirez
by
2.7k points