Question

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. table. f(x) 012) --2 -1 1 Of(0) = } f(1) = -1 0 کی ادN Of(2)= 1 1 2 Of(4) = ? 2 2 Na​

Answer 1

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

          $=-\frac{1}{4}+\frac{3}{2}$

          $=-\frac{1}{4}+1+\frac{1}{2}$

          $=1+\frac{1}{4}$

          $=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

     = $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

    = $\frac{3+1}{2}$

    = 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

       $=1+1+\frac{1}{2}$

       $=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

     $=2+\frac{3}{2}$

     $=\frac{4+3}{2}$

     $=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.