Question

REVIEWING FOR MY FINAL!!
HELP NEEDED-
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2^x + 2 intersect are the solutions of the equation 8x = 2^x + 2.

Part B: Make tables to find the solution to 8x = 2^x + 2. Take the integer values of x between −3 and 3.

Part C: How can you solve the equation 8x = 2^x + 2 graphically?

Answer 1

@wanell

Answer 2

if they y values are the same then you can equate these 2 equations

y = 8x and y = 2x + 2
8x=2x+2

Answer 3

Because they're both " y = something", you can substitute them into each other.

y=8x and y=2x+2

8x=2x+2

Answer 4

for part A:
y=8x

y=2x+2
for part B
8x=2x+2

for part C:
8x=2x+2

Answer 5

As for part B,

you can make a table, first make a function. Like last time, remember that y = f(x) and f(x) = y.

That being said, y = 8x ==> f(x) = 8x, now make a table with x values of -3 to 3.

when x = 2, f(2) = 8(2) = 16 therefore f(2) = 16 for the first function.



The point in this is to see when they both have the same y value, when they do, they're both equal to each other. That's when they intersect.