Will offer 50 points and brainliest for correct answer! graph the two lines 2x + 3y = 18 3x -4y > 16. give the domain and range, slope, and y-intercept for each line. graph each equation above on the graph below and show all work. give the domain and range, slope, and y-intercept for each line. explain in detail how you got each answer. 2x + 3y = 18 3x -4y > 16 slope-intercept form: slope-intercept form: domain: domain: range: range: slope: slope: y-intercept: y-intercept:

For Equation 1:

For Equation 2:

Step-by-step explanation:

We are given two lines - one is an equation and one is an inequality.

Neither are in slope-intercept form (y = mx + b), so we need to make these adjustments.

Slope-intercept form has two key parts to the equation: m, which is the slope of the line and b, which is the y-intercept of the line.

Equation 1

With this, we can now determine the domain, range, slope, and y-intercepts for this line.

For Equation 1, because our equation is in slope-intercept form, we can find the slope and the y-intercept.

Our equation is . Therefore, our m is and our b is 6.

Because the equation is linear, there is no instance in which the line will not meet an x- or y-value. Therefore, our domain and range is all real numbers, or .

Equation 2

Now that we have solved the inequality, we can determine our slope, the domain, and the range of the function.

We can use the same tactic as before - m is our slope and b is our y-intercept. Therefore, is our slope and -4 is our y-intercept.

Because the inequality represents a line, our domain is all real numbers, or . If we were to plug in any number for x, y would be true for that value. Therefore, our range is also all real numbers, or .

its c or d   take a lucky guess my dude

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: