For the piecewise linear function, find $(a) f (- 3), (b) f (- 1), (c) f (0), (d) f (2)$ , and $(e) f (5)$ .
$f (x) = {\begin{cases} 2 x & if x \leq - 1 \\ x - 1 & if x > - 1 \end{cases}$
(a) $f (- 3) =$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $- 6$

Steps

Step 1 ：We need to find the value of the function at x = -3. Since -3 is less than or equal to -1, we will use the first part of the piecewise function: $f (x) = 2 x$ .

Step 2 ：x = -3

Step 3 ：f_x = -6

Step 4 ：Final Answer: $- 6$

For the piecewise linear function, find (a)f(−3),(b)f(−1),(c)f(0),(d)f(2), and (e)f(5).f(x)={2x if x≤−1x−1 if x>−1(a) f(−3)=

Answer

Popular Problems

For the piecewise linear function, find $(a) f (- 3), (b) f (- 1), (c) f (0), (d) f (2)$ , and $(e) f (5)$ .
$f (x) = {\begin{cases} 2 x & if x \leq - 1 \\ x - 1 & if x > - 1 \end{cases}$
(a) $f (- 3) =$