Question

1. For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept. Show your work.

Answer 1

the function is y=f(x)=-2x-3

the graph of this function are all pairs (x, y)=(x, f(x))=(x, -2x-3)

the y-intercept of a graph of a function, is the point where the graph cuts the y-axis, which happens at x=0.

at x=0, f(x)=f(0)=-2*0-3=-3


the x-intercept(s) of the graph, are the point(s) where the graph intersects the x-axis. At those points, the y-coordinate is 0.

so the x-intercept(s) are points of the form (x, 0)

now,

(x, 0)=(x, -2x-3)

0=-2x-3
2x=-3
x=-3/2


Answer:

x-intercept: (-3/2, 0)
y-intercept: (0, )