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Given the piecewise function shown below, select all the statements that are true. (you can choose more than one answer)

okay, the problem states that f(x)=2x,x<1 5,x=1 x^2,x>1

possible answers:

Af(1)=5
Bf(5)=1
Cf(-2)=4
Df(2)=4

Verified Answer :

nobillionaireNobley

f(1) = 5
f(5) = (5)^2 = 25
f(-2) = 2(-2) = -4
f(2) = (2)^2 = 4

Therefore, f(1) = 5 and f(2) = 4 are true.

Answer:

Option a and d are correct

f(1)=5 and f(2)=4

Step-by-step explanation:

Given the piece-wise function:

 \(f(x) = 2x\)          if x < 1

            = 5                   if  x = 1

            =\(x^2\)   if  x > 1

We have to find all the  statements that are true.

For x = 1

f(1) = 5

For x = 5 > 1

then;

\(f(5)=5^2 = 25 eq 1\)

For x = -2 < 1

then;

\(f(-2)=2(-2) = -4 eq 4\)

For x = 2 > 1:

then;

\(f(2)=(2)^2=4\)

Therefore, the statements that are true are:

f(1)=5 and f(2)=4

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