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 → (-∞, ∞)
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