Question 3 Multiple Choice Worth 4 points) (07.04A)
If y = 5x - 4, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
{(0, -4), (2, 6), (4, 20)}
{(0, -4), (2, 6), (4, 16)}
{(0,4), (2, 6), (4,16)}
{(0,4), (2,-6), (4, 20)}

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)