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help please
For each comparison below, select the correct symbol (<,>, or =) that indicates the relationship between the first and second quantity.


Help Please For Each Comparison Below Select The Correct Symbol Ltgt Or That Indicates The Relationship Between The First And Second Quantity class=
Help Please For Each Comparison Below Select The Correct Symbol Ltgt Or That Indicates The Relationship Between The First And Second Quantity class=
Help Please For Each Comparison Below Select The Correct Symbol Ltgt Or That Indicates The Relationship Between The First And Second Quantity class=

Sagot :

Answer:

  • See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

  • f(x) = ax² + bx + c
  • c = 5 as the y-intercept is (0, 5)
  • a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
  • a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

The function is:

  • f(x) = -x² + 4x + 5

Find the equation of g(x)

Find the slope of g(x):

  • m = (1 - 7)/(-1 + 4) = -2

Use (-4, 7) to find its equation:

  • y - 7 = -2(x + 4)
  • y = -2x + 7 - 8
  • y = -2x - 1

See the required comparison below

The y-intercepts:

  • f(x) ⇒ 5,
  • g(x) ⇒ -1
  • -5 < - 1

Values at x = 3:

  • f(3) = -3² + 4(3) + 5 = 8
  • g(3) = -2(3) - 1 = - 7
  • 8 > 7

Average rate of change in the interval [2,5]:

  • f(x) ⇒ (0 - 9)/(5 - 2) = -3
  • g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
  • -3 < -2

Max of function in the interval [-5, 5];

  • f(x) ⇒ 9, vertex of the function
  • g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
  • 9 = 9

Answer:

Step-by-step explanation:

What grade are you in bc I did this