Question

PLEASE HELP, NO LINKS!

1. What are the key features that can be identified from a linear graph?

2. What is a relation? What makes it different from a function?

3. How can you determine the domain and range from a function?

4. What is Slope and how is it determined from a graph?

5. How do you determine the intercepts from an equation and graph.

6. Provide an example of the different forms linear equations and functions can be written.

Answer 1

1 These 5 main features are the title, scale, points, labels, and line.

2. Relations are a group of ordered pairs from one set of objects to another set of objects while functions are relations that connect one set of inputs to another set of outputs. So all functions are relations while all relations are not functions.

3. To find the domain and range, we simply solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain. To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

4. The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.

5. To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

6. An example of a linear equation is: 2x + y - 3 = 0. It can be written in the standard form, the slope-intercept form, and the point-slope form. Here we mainly used the slope-intercept form y=mx+c y = m x + c . To write linear equations find the slope and y-intercept and then substitute these values into the equation.