Answer:
The function graphed is y = Ix - 5I - 4 ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve this problem
- From the graph
# The graph intersects the x-axis at x = 1 and x = 9
∴ The x-intercepts are 1 and 9
- We can find x-intercept by equate y by 0
* Lets equate the answers by zero to find the x-intercept
# y = Ix + 5I - 4
∵ Ix + 5I - 4 = 0
- Add 4 to both sides
∴ Ix + 5I = 4
- Remember in Ia + bI = c, then we have two answers :
a + b = c OR a + b = -c
∵ Ix + 5I = 4
∴ x + 5 = 4 ⇒ subtract 5 from both sides
∴ x = -1
- OR
∴ x + 5 = -4 ⇒ subtract 5 from both sides
∴ x = -9
∴ The x-intercepts are -1 and -9 not the same with figure
# y = Ix - 5I + 4
∵ Ix - 5I + 4 = 0
- Subtract 4 from both sides
∴ Ix - 5I = -4
- Remember in Ia + bI = c , c can't be negative because the absolute
value is always positive
∴ We can't solve this equation
# y = Ix + 5I + 4
∵ Ix + 5I + 4 = 0
- Subtract 4 from both sides
∴ Ix + 5I = -4
- Remember in Ia + bI = c , c can't be negative because the absolute
value is always positive
∴ We can't solve this equation
# y = Ix - 5I - 4
∵ Ix - 5I - 4 = 0
- Add 4 to both sides
∴ Ix - 5I = 4
- Remember in Ia + bI = c, then we have two answers :
a + b = c OR a + b = -c
∵ Ix - 5I = 4
∴ x - 5 = 4 ⇒ add 5 to both sides
∴ x = 9
- OR
∴ x - 5 = -4 ⇒ add 5 to both sides
∴ x = 1
∴ The x-intercepts are 1 and 9 the same with figure
* The function graphed is y = Ix - 5I - 4
