Question

Given the following functions identify the followingslopey interceptx interceptdomainrange is the function increasing or decreasing

Answer 1

a. Slope = -2

b. y-intercept = 9

c. x-intercept = 9/2

d. Domain = (-∞, ∞)

e. Range = (-∞, ∞)

f. The function is a decreasing function because the slope is negative

Step-by-step explanation

The given equation is

`y=-2x+9`

The equation of a line is

`\begin{gathered} y=mx+c \\ \text{Where m is the slope, and c is the y-intercept} \end{gathered}`

Therefore, m = -2, c = 9

a. Slope = -2

b. y-intercept = 9

To find x-intercept, plug in y = 0

This implies

`\begin{gathered} 0=-2x+9 \\ 2x=9 \\ x=(9)/(2) \end{gathered}`

c. x-intercept = 9/2

d. Domain = (-∞, ∞)

e. Range = (-∞, ∞)

f. The function is a decreasing function because the slope is negative