Question

Find the x-intercepts (horizontal intercepts) of the function: f(x) = 4/2 – 4| – 5 The intercepts are at x = Separate values with commas.

Answer 1

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Step-by-step explanation:

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Answer 2

To find the x-intercepts of the function f(x) = 2 - 4|x| - 5, we try to set the function to zero. However, because the equation involves -4|x| which cannot be positive, there are no x-intercepts for this function.

Step-by-step explanation:

To find the x-intercepts of the function f(x) = 4/2 - 4|x| - 5, we need to determine the values of x where the function equals zero (where the graph of the function crosses the x-axis). However, there seems to be a typo in the question as 4/2 can be simplified to 2, which would make the function f(x) = 2 - 4|x| - 5. Now, to find the x-intercepts, we set the function equal to zero:

0 = 2 - 4|x| - 5

Next, combine the constant terms:

0 = -4|x| - 3

Now add 3 to both sides to isolate the absolute value:

3 = -4|x|

To remove the absolute value, let's consider the two possibilities where |x| = 3/4:

• x = 3/4
• x = -3/4

However, because we have -4 times the absolute value, the right-hand side will always be negative, and as such, this equation has no solution as the absolute value of x cannot be negative. Therefore, there are no x-intercepts.