The function h is defined, for all real numbers , answer is as follows -
h(1) = - 2
h(2) = 3
h(4) = 3.
function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable
We have been given that
h(x) = 1/4(x) - 1 if x < -2
h(x) = -(x + 1)² + 2 if -2 ≤ x < 2
h(x) = 3 if x ≥ 2
Find h (1), h (2), and h (4)
For h (1) -
Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2
So put x = 1
h(x) = -(x + 1)² + 2
h(1) = -(1 + 1)² + 2
h(1) = -4 + 2
h(1) = - 2
For h (2) -
Value of h(2) for h(x) = 3 as if x ≥ 2
h(x) = 3
h(2) = 3
For h (4) -
Value of h(4) for h(x) = 3 as if x ≥ 2
h(x) = 3
h(4) = 3
Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.
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ANSWER
$3
Or
$4
EXPLANATION
The revenue function is

The cost function is,
C=600-50t
In order to break even, revenue must be equal to cost.

Group every term on the LHS.


Divide through by 50.

Factor to obtain,


Options a and b are the algebraic expressions
Hi there
the rate of decay each month
0.08÷12months=0.00667
0.00667×100=0.667% each month
Hope it helps