117,461 views
10 votes
10 votes
What is the domain,range, x-intercepts, y-intercepts, zeros, and the slope

What is the domain,range, x-intercepts, y-intercepts, zeros, and the slope-example-1
User Abhishek Anand
by
3.1k points

1 Answer

9 votes
9 votes

See explanation below

Step-by-step explanation:

Domain is referred as the x values of the function

The x values of the graph: from 0 t0 9

Domain = 0 ≤ x ≤9

Range is referred to as the y values of the function

The y values of the graph: from 150 to 240

Range = 150 ≤ y≤ 240

150 is gotten when x = 9, y = 150

when x= 0, y = 240

The equation of the line is the form of: y = mx + c

c = y-intercept

This the point the line touches the y axis.

From the graph, the line touches the y axis at $240

c = y-intercept = 240

m = slope = change in balance/ change in number of visits

we will pick any two points (x, y): (0, 240) and (8, 160)

m = (160-240)/(8-0) = -80/8

m = slope = -10

It is a negative slope as it is going downwards

Putting the value of c and m in the equation form:

y = -10x + 240

The x intercept is gotten when you equate y in the equation of the line to zero.

0 = -10x + 240

10x = 240

x = 240/10

x = 24

The x intercept is 24

Zeros of the equation are the values of x that cause the equation to be equal to zero. We wiil make y = 0. This is also the x intercept.

Reason: when y = 0

the value of x obtained is the x-intercept

zeros = 24

User Ladenedge
by
2.8k points