Question

read each short answer question carefully and be sure to show all necessary work for full marks. write each solution in the blank space provided. marks assigned to short answer questions are indicated for each question. 1. match each graph with its function. a. graph a d. graph d b. graph b e. graph e

Explanation:

To solve the problem of matching each graph with its function, we analyze the key features of each graph (such as the direction of opening, vertex, x - intercepts, y - intercepts) and compare them with the general form of functions (e.g., quadratic functions \(y = ax^{2}+bx + c\), linear functions \(y=mx + n\)). However, since the functions corresponding to the graphs are not provided in the question, we can't complete the matching. We need the equations of the functions to make the correct matches. For example, if we have a set of functions like linear functions (\(y = mx + b\)) and quadratic functions (\(y=ax^{2}+bx + c\)), we can:

1. For a quadratic function \(y = ax^{2}+bx + c\):

• If \(a>0\), the parabola opens upwards; if \(a < 0\), it opens downwards.
• The x - intercepts are found by solving \(ax^{2}+bx + c = 0\), and the y - intercept is \(c\) (when \(x = 0\)).

1. For a linear function \(y=mx + b\):

• The slope \(m\) determines the direction of the line, and the y - intercept is \(b\) (when \(x = 0\)).

Since the functions are not given, we can't proceed with the matching. We need the list of functions to complete this task.

Answer:

To solve the problem of matching each graph with its function, we analyze the key features of each graph (such as the direction of opening, vertex, x - intercepts, y - intercepts) and compare them with the general form of functions (e.g., quadratic functions \(y = ax^{2}+bx + c\), linear functions \(y=mx + n\)). However, since the functions corresponding to the graphs are not provided in the question, we can't complete the matching. We need the equations of the functions to make the correct matches. For example, if we have a set of functions like linear functions (\(y = mx + b\)) and quadratic functions (\(y=ax^{2}+bx + c\)), we can:

1. For a quadratic function \(y = ax^{2}+bx + c\):

• If \(a>0\), the parabola opens upwards; if \(a < 0\), it opens downwards.
• The x - intercepts are found by solving \(ax^{2}+bx + c = 0\), and the y - intercept is \(c\) (when \(x = 0\)).

1. For a linear function \(y=mx + b\):

• The slope \(m\) determines the direction of the line, and the y - intercept is \(b\) (when \(x = 0\)).

Since the functions are not given, we can't proceed with the matching. We need the list of functions to complete this task.