Question

Given the equation f(x) = x²-3x - 10

and the graph of g (x) below
Which of the following statements is true?
O The minimum value of f(x) is 5 more than the maximum value of g(x)
O The y-intercept of f(x) is 16 below the y-intercept of g(x).
O The y-intercept of f(x) and g(x) are the same
O The maximum value of g(x) is 2 to the right of the minimum value of f(x)

Answer 1

The statement that is true is

O The y-intercept of f(x) is 16 below the y-intercept of g(x).

How to find the truth

The statements are investigated by plotting the graph of f(x). This creates room for comparison of both graphs.

Comparing both graphs helped us deduce that :

• The y-intercept of g(x) is at 6

• The y-intercept of f(x) is at -10

Hence we solve for the distance apart

= 6 - (-10)

= 6 + 10

= 16

The graph of f(x) is attached