Consider the function f(x)={x2+34x+2839x+147ifx<−17ifx≥−17𝑓(𝑥)={𝑥2+34𝑥+283if𝑥<−179𝑥+147if𝑥≥−17.Step 1 of 3 : Find limx→−17−f(x)lim𝑥→−17−𝑓(𝑥).Answer
Question
Consider the function f(x)={x2+34x+2839x+147ifx<−17ifx≥−17𝑓(𝑥)={𝑥2+34𝑥+283if𝑥<−179𝑥+147if𝑥≥−17.Step 1 of 3 : Find limx→−17−f(x)lim𝑥→−17−𝑓(𝑥).Answer
Solution
To find the limit of the function as x approaches -17 from the left (limx→−17−f(x)), we use the piece of the function that is defined for x < -17. This is the piece x^2 + 34x + 283.
So, we substitute -17 into this piece of the function:
f(-17) = (-17)^2 + 34*(-17) + 283 = 289 - 578 + 283 = -6
So, limx→−17−f(x) = -6.
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