The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.
<h3>What is the domain and range of a function?</h3>
The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x is also defined for x=-2.
Hence, the range of the given graph will be -2≤x<7.
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The solution is in the attached file
Simplifying
h(t) = -1t2 + -2t + 30
Multiply h * t
ht = -1t2 + -2t + 30
Reorder the terms:
ht = 30 + -2t + -1t2
Solving
ht = 30 + -2t + -1t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 30t-1 + -2 + -1t
Simplifying
h = 30t-1 + -2 + -1t
Reorder the terms:
h = -2 + 30t-1 + -1t
Taking 20 away from 50 will result in 30
