Given $f (w) = - w^{3} + 13$ , find the following:
a) $w$ -intercept(s) $=$
b) $f (w)$ -intercept $=$

Answer

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Answer

Substitute $w = 0$ into the function to find the $f (w)$ -intercept. So, $f (0) = - 0^{3} + 13 = 13$ . Therefore, the $f (w)$ -intercept is $13$ .

Steps

Step 1 ：Set the function $f (w)$ equal to zero and solve for $w$ to find the $w$ -intercept(s). So, $- w^{3} + 13 = 0$ .

Step 2 ：Rearrange the equation to get $w^{3} = 13$ .

Step 3 ：Take the cube root of both sides to find $w = \sqrt[3]{13}$ . So, the $w$ -intercept is $\sqrt[3]{13}$ .

Step 4 ：Substitute $w = 0$ into the function to find the $f (w)$ -intercept. So, $f (0) = - 0^{3} + 13 = 13$ . Therefore, the $f (w)$ -intercept is $13$ .

Given f(w)=−w3+13, find the following:a) w-intercept(s) =b) f(w)-intercept =

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Popular Problems

Given $f (w) = - w^{3} + 13$ , find the following:
a) $w$ -intercept(s) $=$
b) $f (w)$ -intercept $=$