Question

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:
a) f(1)=5
b) f(5)=1
c) f(-2)=4
d) f(2)=4

Answer 1

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 2

Option a and d are correct

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

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