Graph the rational function f of x equals quantity 2 times x plus 3 end quantity divided by quantity x minus 4 end quantity. A rational function is graphed in the first quadrant, and in the third and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 4.
A rational function is graphed in the second quadrant, and in the first and third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4.
A rational function is graphed in the second quadrant, and in the fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 1.
A rational function is graphed in the first quadrant, and in the third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 1.

a

step-by-step explanation:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.