Question

Complete the table below given f(x):

sin(8x)
Round your answers to six decimal places..
-0.1
f(x)
Number
-0.01
Number
-0.001
Number
0.001
Number
0.01
Number
0.1

Answer 1

To complete the table, we need to evaluate the function f(x) = sin(8x) for each given value of x and round the answers to six decimal places. Let's calculate the values:

For x = -0.1:

f(-0.1) = sin(8 * -0.1) = sin(-0.8) ≈ -0.717356

For x = -0.01:

f(-0.01) = sin(8 * -0.01) = sin(-0.08) ≈ -0.079914

For x = -0.001:

f(-0.001) = sin(8 * -0.001) = sin(-0.008) ≈ -0.007999

For x = 0.001:

f(0.001) = sin(8 * 0.001) = sin(0.008) ≈ 0.007999

For x = 0.01:

f(0.01) = sin(8 * 0.01) = sin(0.08) ≈ 0.079914

For x = 0.1:

f(0.1) = sin(8 * 0.1) = sin(0.8) ≈ 0.717356

Now, let's fill in the table:

| f(x) | -0.1f(x) |

|:---------:|:------------:|

| -0.1 | -0.071736 |

| -0.01 | -0.007991 |

| -0.001 | -0.000800 |

| 0.001 | 0.000800 |

| 0.01 | 0.007991 |

| 0.1 | 0.071736 |

In this way, we have completed the table by evaluating the function f(x) = sin(8x) for the given values of x and rounding the answers to six decimal places.

Explanation: