Which of the following represent functions? Select all that apply.

(2 points)
Responses

f left parenthesis x right parenthesis equals Start Absolute Value x minus 5 End Absolute Value
Image with alt text: f left parenthesis x right parenthesis equals Start Absolute Value x minus 5 End Absolute Value

left brace left parenthesis negative 5 comma 6 right parenthesis comma left parenthesis negative 2 comma 8 right parenthesis comma left parenthesis 0 comma 4 right parenthesis comma left parenthesis 8 comma 8 right parenthesis right brace
Image with alt text: left brace left parenthesis negative 5 comma 6 right parenthesis comma left parenthesis negative 2 comma 8 right parenthesis comma left parenthesis 0 comma 4 right parenthesis comma left parenthesis 8 comma 8 right parenthesis right brace

A sideways parabola with vertex left-parenthesis 0 comma 0 right-parenthesis is graphed on a coordinate grid. The parabola opens up to the right.
Image with alt text: A sideways parabola with vertex left-parenthesis 0 comma 0 right-parenthesis is graphed on a coordinate grid. The parabola opens up to the right.

A hyperbola is graphed on a coordinate grid with one branch in the first quadrant and the other in the third quadrant. The lines of symmetry are y=x and y= negative x and the asymptotes are at x= 0 and y=0.
Image with alt text: A hyperbola is graphed on a coordinate grid with one branch in the first quadrant and the other in the third quadrant. The lines of symmetry are y=x and y= negative x and the asymptotes are at x= 0 and y=0.

f left parenthesis x right parenthesis equals 3 x squared minus 13
Image with alt text: f left parenthesis x right parenthesis equals 3 x squared minus 13

The functions that are represented are:

1. f(x) = |x - 5|
2. f(x) = 3x^2 - 13

The functions that are represented in the options are:

1. f(x) = |x - 5|
2. f(x) = 3x^2 - 13

So, the correct options are:

1. f(x) = |x - 5|
2. f(x) = 3x^2 - 13