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If find: (a) f(0), (b) f(1), (c) f(), and (d) f().

If find: (a) f(0), (b) f(1), (c) f(), and (d) f().-example-1
User Raxr
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1 Answer

5 votes

In order to answer the question we need to focus on the value we're being asked about:

If -2≤x≤2, then the part of the function we should consider is


2x-5.

If 2
x^3-2.(a) We need to find f(0). Since 0 is bewteen -2 and 2, we're considering the first part of the function. Then


f(0)=2(0)-5=0-5=-5.

(b) Now we want to find f(1). Once again, since 1 is between -2 and 2, we're considering the first part of the function, so


f(1)=2(1)-5=2-5=-3.

(c) This time, we want to find f(2). Since 2≤2, we are still considering the first part of the function, so we need to consider


f(2)=2(2)-5=4-5=-1.

(d) Finally, we want to find f(5). 5 is greater than 2, but 5≤5, so we need to consider the second part of the function this time. Let's do so:


f(5)=5^3-2=25\cdot5-2=125-2=123.

User Mitzie
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