Are the statements about the graph of function f true or false?

Step-by-step explanation:

1). For a point (0, -15),

   Here x = 0, so the piece of function that applies,

   f(x) = 4x - 15 (Since, x = 0 lies in the range  -2 ≤ x < 4)

         = 4(0) - 15

         = -15

   True.

2). Since, f(x) = for x < -2

                     = 4x - 15 for -2 ≤ x < 4

    Which shows a gap between these graphs.

    Therefore, graph has a discontinuity at x = -2

    True.

3). For x > 4,

   f(x) =

   For every input value of x in the interval (4, ∞), output values of the function will be increasing.

  So this option is TRUE.

4). In the interval (-12, -2),

   Function to be followed → f(x) =

   Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).

   In this graph value of function first increases then decreases.

   So the answer is FALSE.

5). Since, input values of the function 'f' varies from (-∞, ∞)

   Therefore, domain of the function will be (-∞, ∞)

   TRUE.    

ghjmutmum

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .