Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)

Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)

Answer 1

@Ultrilliam

Answer 2

part A) the solutions of the equation 4x = 2x - 1 are the x-values that make both sides true, right? therefore, if we graph 4x and 2x - 1 on the same graph, we would expect the coordinates where they intersect to have the same x-coordinates

part B) for each function you will make a table showing the values when you plug in x = -4, x = -3, x = -2... etc. until x = 4

then you will identify the row of the table where the same x-value gives the same solution to each function

part C) to solve the equation graphically, simply graph both y = 4x and y = 2x - 1 and identify where the two lines intersect

Answer 3

@Vocaloid thank you so much