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QuestionEvaluate f(x)=12xf(x)=\frac{1}{2} x for f(0)f(0), f(10)f(10), and f(−10)f(-10). What are the results?

Studdy Solution

STEP 1

Assumptions1. The function is defined as f(x)=1xf(x)=\frac{1}{} x . We are asked to find the values of the function at x=0x=0, x=10x=10, and x=−10x=-10

STEP 2

First, we need to find the value of the function at x=0x=0. We can do this by substituting x=0x=0 into the function.
f(0)=12⋅0f(0) = \frac{1}{2} \cdot0

STEP 3

Calculate the value of the function at x=0x=0.
f(0)=12⋅0=0f(0) = \frac{1}{2} \cdot0 =0

STEP 4

Next, we need to find the value of the function at x=10x=10. We can do this by substituting x=10x=10 into the function.
f(10)=12⋅10f(10) = \frac{1}{2} \cdot10

STEP 5

Calculate the value of the function at x=10x=10.
f(10)=12⋅10=5f(10) = \frac{1}{2} \cdot10 =5

STEP 6

Finally, we need to find the value of the function at x=−10x=-10. We can do this by substituting x=−10x=-10 into the function.
f(−10)=12⋅−10f(-10) = \frac{1}{2} \cdot -10

STEP 7

Calculate the value of the function at x=−10x=-10.
f(−10)=12⋅−10=−5f(-10) = \frac{1}{2} \cdot -10 = -5So, the values of the function at the given points area. f(0)=0f(0) =0 b. f(10)=5f(10) =5 c. f(−10)=−5f(-10) = -5

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