f(x)={[-x-7," for ",x!=-3],[6," for ",x=-3]:} Find f(-5) Answer:

Determine piecewise function: We need to determine which piece of the piecewise function to use for x = -5. The function f(x) is defined by two expressions: one for when x is not equal to -3, and one for when x is equal to -3. Since -5 is not equal to -3, we use the first expression.Substitute x = -5: Now we substitute x = -5 into the first expression of the function: f(x) = -x - 7.Calculate f(-5): Performing the substitution, we get f(-5) = -(-5) - 7.Simplify expression: Simplifying the expression, we calculate f(-5) = 5 - 7.Final result: Subtracting 7 from 5, we find f(-5) = -2.

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Grade 8

Write an equation word problem

Full solution

f(x)=\left\{\begin{array}{lll} -x-7 & \text { for } & x \neq-3 \\ 6 & \text { for } & x=-3 \end{array}\right.

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Find

f(-5)

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Answer:

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Determine piecewise function: We need to determine which piece of the piecewise function to use for $x = -5$ . The function $f(x)$ is defined by two expressions: one for when $x$ is not equal to $-3$ , and one for when $x$ is equal to $-3$ . Since $-5$ is not equal to $-3$ , we use the first expression.
Substitute $x = -5$ : Now we substitute $x = -5$ into the first expression of the function: $f(x) = -x - 7$ .
Calculate $f(-5)$ : Performing the substitution, we get $f(-5) = -(-5) - 7$ .
Simplify expression: Simplifying the expression, we calculate $f(-5) = 5 - 7$ .
Final result: Subtracting $7$ from $5$ , we find $f(-5) = -2$ .