(3) f(x)=|x+2|-|x+1|+x+3

Substitute x = 0: Substitute the value of x = 0 into the function f(x). f(0) = |0 + 2| - |0 + 1| + 0 + 3Simplify absolute values: Simplify the expression by calculating the absolute values. f(0) = |2| - |1| + 0 + 3Calculate arithmetic operations: Since the absolute value of a positive number is the number itself, we have: f(0) = 2 - 1 + 0 + 3Find final value: Perform the arithmetic operations. f(0) = 1 + 3Add the numbers to find the final value. f(0) = 4

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$f(x) = |x + 2| - |x + 1| + x + 3$

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Math Problems

Grade 8

Evaluate absolute value expressions

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f(x) = |x + 2| - |x + 1| + x + 3

Substitute $x = 0$ : Substitute the value of $x = 0$ into the function $f(x)$ . $f(0) = |0 + 2| - |0 + 1| + 0 + 3$
Simplify absolute values: Simplify the expression by calculating the absolute values. $f(0) = |2| - |1| + 0 + 3$
Calculate arithmetic operations: Since the absolute value of a positive number is the number itself, we have: $f(0) = 2 - 1 + 0 + 3$
Find final value: Perform the arithmetic operations. $\newline$ $f(0) = 1 + 3$
Find final value: Perform the arithmetic operations. $\newline$ $f(0) = 1 + 3$ Add the numbers to find the final value. $\newline$ $f(0) = 4$