Me on this im struggling uwu

graph the function and label its intercepts. round the intercepts to two decimal places

  See the attached for a graph with labeled intercepts. (You will have to round the numbers.)

Step-by-step explanation:

The graph of 1.5^x is reflected across the x-axis, then translated 2 units to the right and 4 units up.

A graphing calculator can be a great help for graphing or figuring the intercepts. The y-intercept will be f(0) = -1/2.25 +4 ≈ 3.56.

The x-intercept will be at the x-value where ...

  -1.5^(x-2) +4 = 0

  4 = 1.5^(x -2) . . . . add 1.5^(x-2)

  log(4) = (x -2)·log(1.5) . . . . take the logarithm

  log(4)/log(1.5) = x -2 . . . . . divide by log(1.5)

  2 + log(4)/log(1.5) = x ≈ 5.42

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Your calculator or a spreadsheet can help evaluate the function for various values of x. The second attachment shows the calculations done by a spreadsheet program. Note that the minus sign needs special treatment because the spreadsheet does not strictly follow the order of operations.

You can even use a spreadsheet's "Goal Seek" function to find the y-intercept. Have it adjust the x-value until the y-value is zero.

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step-by-step explanation: