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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 41 Page 279

Which operation should you perform first?

Error: The power should be simplified before multiplying by 6.
Answer: g(- 2)=24

Practice makes perfect

We are asked to describe the error in evaluating the value of g(x) when x=- 2.

Let's substitute - 2 for x into the function and calculate its value by ourselves.

g(x)=6(0.5)^x

Substitute

x= - 2

g( - 2)=6(0.5)^(- 2)

CalcPow

Calculate power

g(- 2)=6* 4

Multiply

g(- 2)=24

The function is equal to 24 when x=- 2. In the given solution, the multiplication is performed before calculating the power of 0.5. Correct:& 6 (0.5)^(- 2) = 6 (4) ✓ [0.5em] Incorrect:& 6 (0.5)^(- 2) = 3^(- 2) *