The table represent the function f(x) if g(x) =4x -8 which statement is true see picture you inadvance

The true statement is answer A

The y-intercept of g(x) is less than the y-intercept of f(x)

Step-by-step explanation:

* Lets explain the meaning of x-intercept and y-intercept

# x-intercept means the line cross the x-axis at which point

∵ Any point lies on the x-axis has x-coordinate but its y-coordinate

 is zero

∴ To find the x- intercept in any function you must to chose the

   value of x when y = 0

* Similar

# y-intercept means the line cross the y-axis at which point

∵ Any point lies on the y-axis has y-coordinate but its x-coordinate

 is zero

∴ To find the y- intercept in any function you must to chose the

   value of y when x = 0

* Now lets solve the problem

- Find the x-intercept and the y- intercept for f(x) and g(x)

# In f(x)

- From the table there is a point (0 , -4)

∵ x = 0

∴ The y-intercept of f(x) = -4

- From the table there is a point (16 , 0)

∵ y = 0

∴ The x-intercept of f(x) = 16

# In g(x)

- From the equation g(x) = 4√x - 8

- To find the y-intercept put x = 0

∵ g(x) = 4√x - 8 and x = 0

∴ g(x) = 4√0 - 8 = -8

∴ The y-intercept of g(x) = -8

- To find the x-intercept put y = 0

∵ g(x) = 4√x - 8 and y = 0 ⇒ g(x) = 0

∴ 0 = 4√x - 8 ⇒ add 8 for both sides

∴ 8 = 4√x ⇒ divide both sides by 4

∴ 2 = √x ⇒ square the two sides

∴ (2)² = (√x)²

∴ 4 = x

∴ The x-intercept of g(x) = 4

- From the answers above

∵ y-intercept of f(x) = -4

∵ y-intercept of g(x) = -8

∵ -8 is less than -4

∴ The y-intercept of g(x) is less than the y-intercept of f(x)

* The true statement is answer A

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