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compare continuous functions f, g, and h, and match the statements with the function they best describe. drag each description to the correct location on the table. this function has the highest y-intercept.this function is increasing over the longest interval.this function is decreasing over the longest interval.this function has the lowest y-intercept.

Respuesta :

From the given properties of the functions,

  • Function 'f' is decreasing in the longest interval [-0.8, 0.6]
  • Lowest y-intercept → y = -1 (function g)
  • Highest y-intercept → y = 3 (function h)
  • Function 'h' in increasing in the longest interval → (-∞, ∞)

Functions given in the picture are 'f', 'g' and 'h'.

From the graph given for function 'f',

y - intercept = 1

Increasing in the interval → (-∞, -0.8] and (0.6, ∞)

Decreasing in the interval → [-0.8, 0.6]

From the table given for the function 'g',

Decreasing in the interval → [-2, 2]

y-intercept = -1

For function 'h',

h(x) = 4x³ + 3

Table of the input-output values for function will be,

x           h(x)

-2         -29

-1            -1

0            3

1             7

2           35

Therefore, function 'h' will increase in the interval → (-∞, ∞)

y-intercept → y = 3

Therefore, from these properties of the functions we conclude,

  • Function 'f' is decreasing in the longest interval [-0.8, 0.6]
  • Lowest y-intercept → y = -1 (function g)
  • Highest y-intercept → y = 3 (function h)
  • Function 'h' in increasing in the longest interval → (-∞, ∞)

To know more about Function check the below link:

https://brainly.com/question/13508893

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