Determine if the relation [Math Processing Error] is a function by first graphing the relation, then applying the vertical line test. Enter 1 if the relation is a function. Enter 2 if the relation is not a function.(1 point)

Answer 1

To determine if a relation is a function, the vertical line test is a common method. According to this test, if a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Since I cannot graph the relation directly without a specific equation or set of points provided, I can guide you through the process:

1. Graph the Relation: Plot the points or graph the equation provided. Make sure to include all relevant points or the shape dictated by the equation.

2. Vertical Line Test: Imagine drawing vertical lines through the graph. If you find any vertical line that touches the graph at more than one point, then the relation fails the vertical line test and is not a function.

Based on this explanation, if you conduct the vertical line test and find that every vertical line touches the graph at most once, the relation is a function, and you would enter 1. If any vertical line touches the graph at more than one point, then it is not a function, and you would enter 2.

Please provide the specific relation (graph or equation) that you are examining, so I can help you determine whether it is a function or not.

Answer 2

there's nothing I can give you that is the whole question

Answer 3

Thank you for your patience. Based on the information provided, I can help guide you through the process conceptually. Since you’re unable to provide the specific relation, let’s summarize how you would determine if it’s a function or not:

1. Graph the Relation: You would plot the points or graph the equation associated with the relation you have.

2. Apply the Vertical Line Test: Visually inspect the graph. If every vertical line you draw intersects the graph at most once, then the relation is a function. If any vertical line intersects the graph at more than one point, then the relation is not a function.

Given these clear criteria, your answer will be either:

• 1 if the relation is a function (passes the vertical line test).
• 2 if the relation is not a function (fails the vertical line test).

Again, without specific details about the relation, I can’t provide a definitive answer on your particular case. If you need further assistance or have another question regarding functions or a specific relation you've graphed, feel free to ask!

Answer 4

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2. Linear Function 1: [Math Processing Error] Linear Function 2: (1 point) Linear Function has the greater rate of change.

Answer 5

To determine which linear function has a greater rate of change, we need to evaluate the slopes of the two functions. In the context of linear functions, the rate of change is represented by the slope (m) in the slope-intercept form \(y = mx + b\).

If you can provide the specific equations for Linear Function 1 and Linear Function 2, I can compare their slopes directly. However, here's how you can do it on your own:

1. Identify the Slope: For each linear function given in the form \(y = mx + b\), the slope \(m\) indicates the rate of change.

   • Example: If Linear Function 1 is \(y = 3x + 2\), then the slope (rate of change) is 3.
   • If Linear Function 2 is \(y = 2x - 1\), then the slope is 2.

2. Comparison: Once you find the slopes:

   • If the slope of Linear Function 1 (let’s say it’s \(m_1\)) is greater than the slope of Linear Function 2 (let’s say it’s \(m_2\)), then Linear Function 1 has the greater rate of change, and you would choose 1.
   • Conversely, if \(m_2\) is greater than \(m_1\), then you would choose 2 for Linear Function 2.

Here’s a quick reference:

• Greater positive slope = greater rate of change.
• If both slopes are negative, a larger number (less negative) means a greater rate of change.

If you can provide the specific equations for both functions, I'd be happy to help you compare them directly!

Answer 6

Determine the initial value and the rate of change in the following description. Last year, Joshua’s tomato plant reached a maximum height of 2 feet. He is growing another tomato plant this year, and he is tracking its growth. The plant’s height today is 10 inches, and it grows 1.7 inches each day. (1 point) The initial value is [Math Processing Error] , and the rate of change is [Math Processing Error] .

Answer 7

To analyze the information provided and determine the initial value and the rate of change, we can break it down based on the context of the growth of Joshua's tomato plant.

1. Initial Value: The initial value refers to the height of the tomato plant at the start of the observation period. Since the plant’s height today is given as 10 inches, this will serve as the initial value:

   • Initial Value: 10 inches.

2. Rate of Change: The rate of change indicates how much the plant's height increases over a specified period—in this case, each day. The description states that the plant grows by 1.7 inches each day. Thus:

   • Rate of Change: 1.7 inches per day.

Summarizing the results:

• Initial Value: 10 inches
• Rate of Change: 1.7 inches per day

If you have to enter these values in a specific format or have further questions, let me know!

Answer 8

Use the image to answer the question. Determine the initial value and the rate of change of the linear function as given in the graph. Round the answer to three decimal places as needed. (1 point) The initial value is , and the rate of change is .

Answer 9

As I cannot see images or graphs directly, I can guide you on how to determine the initial value and the rate of change from a linear graph.

Here's how you can extract the necessary information:

1. Identify the Initial Value:

   • The initial value (often represented as \(b\) in the equation \(y = mx + b\)) is the point where the line intersects the y-axis.
   • Look at the point where the line crosses the y-axis; the y-coordinate of this point is the initial value.

2. Determine the Rate of Change (Slope):

   • The rate of change, or slope (denoted as \(m\)), is calculated as the rise over the run between any two points on the line.
   • Choose two distinct points on the line, say \((x_1, y_1)\) and \((x_2, y_2)\).
   • The slope can be calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
   • Make sure to round the slope to three decimal places as needed.

Example:

Suppose you have the following points from the graph:

• Point 1: \((2, 4)\)
• Point 2: \((5, 10)\)

You would calculate the slope: \[ m = \frac{10 - 4}{5 - 2} = \frac{6}{3} = 2 \]

If the y-intercept (initial value) is \(4\), you would report:

• Initial Value: 4
• Rate of Change: 2

Please apply this method to your graph, and if you provide the specific points or values, I can help you further!

Answer 10

Use the image to answer the question. The graph shows the elevation of a deep-sea diver in relation to minutes passed. Using any two points on the graph, what is the rate of change in the diver’s elevation? (1 point) feet per minute

Answer 11

To calculate the rate of change in the diver’s elevation using two points from the graph, you will follow these steps:

1. Select Two Points: Identify two distinct points on the graph where you can read the coordinates. Each point will have a coordinate in the form \((\text{time in minutes}, \text{elevation in feet})\). Let’s denote the two points as \( (t_1, e_1) \) and \( (t_2, e_2) \).

2. Calculate the Rate of Change (Slope): The rate of change in elevation with respect to time is determined using the formula for slope: \[ \text{Rate of Change} = \frac{e_2 - e_1}{t_2 - t_1} \] This formula represents the change in elevation (rise) divided by the change in time (run).

3. Insert the Coordinates: Substitute the values of the coordinates you selected into the formula.

4. Compute the Result: Once you have performed the calculation, the result will be the rate of change in feet per minute.

Example Calculation:

Suppose you select the points:

• Point 1: (3 minutes, 30 feet) → \((t_1, e_1) = (3, 30)\)
• Point 2: (7 minutes, 10 feet) → \((t_2, e_2) = (7, 10)\)

Using the coordinates in the slope formula: \[ \text{Rate of Change} = \frac{10 - 30}{7 - 3} = \frac{-20}{4} = -5 \]

Thus, the rate of change would be:

• Rate of Change: -5 feet per minute.

This means that the diver is descending at a rate of 5 feet per minute.

Please apply this method to your specific graph, and if you have any points or numerical values, I can help you finalize your calculation!