Question
Find the minimum value of
.
- 0
- -2
- -4
- -6
Hint:
A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output and the output can be traced back to its input.
The correct answer is: -6
![f left parenthesis negative 1 right parenthesis equals root index 8 of negative 1 end root minus 5 equals negative 1 minus 5 equals negative 6](data:image/png;base64,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)
So, the minimum value of f(x) is -6.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Related Questions to study
Evaluate:
.
CUbe root can be negative.
Evaluate:
.
CUbe root can be negative.
Find the average rate of change of
.
Find the average rate of change of
.
Observe the graph and select the statement which is true.
![](data:image/png;base64,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)
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Observe the graph and select the statement which is true.
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)
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 5 units right of
.
A cubic equation is an equation involving a cubic polynomial
Write an expression for the function which has a translation by 5 units right of
.
A cubic equation is an equation involving a cubic polynomial
Find the maximum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the maximum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Evaluate: ![cube root of 64](data:image/png;base64,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)
A cube root can be negative.
Evaluate: ![cube root of 64](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAATCAYAAAAXvcSzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAalJREFUeNrNlUEohEEUx6dNcpAUkigOkiQ52Cg2F0ly3EJyEG2Sg6Oji7g5cBFnB4VywEXSJq02tIdNHCTJYYuS2Das/+R9NY2Z+ebb2N1//dr9vjdv5n3vvZlh7EdpIgUuQS9Tq1gY+5/8UiO40wQ1BI5YDuQDTxrbPpjIdkBlYAWMKWzl4Jl+syannqMa+yTYMfj7wSZ4AUmwC7oN4wd0/SOrBMyDkMLGeymo8QtREA3CPCMgbNgwcdugHCWl5zqQAEWKsU0g6rEqq2DcS1ABxSKzYM2wwLCHgDrBodAyrv3EM3QAaiX7BejT+F6BKsuACkFMmD+d6QZoBo+gwFBq3kvb4I0O4Cj1lKxFMC0lw5glhy7JvgCWXLJ8DvopcB+V6BpMCeNawInC11X34Ex6dwvaDD78CKhWvG8FD8JzBNRnEhT/si9QSc8d4MZQOq49yo5KKUNFXO87UbwvNuj/Mpiz+JBBzR0asTiwrbQO3ik7CZrcbUcd07njZLSddlnPXwVVCj7BFji19Kmgc+wVfFCQAcurzVphcphheSQ/BVXD8kzBXC38DXTPgDUkHtKgAAAAY3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtcm9vdD48bW4+NjQ8L21uPjxtbj4zPC9tbj48L21yb290PjwvbWF0aD6e3A4cAAAAAElFTkSuQmCC)
A cube root can be negative.
How does the graph
compared to the graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to the graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph
compared to graph of
?
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 3 units up of
.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 3 units up of
.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Find the minimum value of
.
For minimum value, we check on extreme points
Find the minimum value of
.
For minimum value, we check on extreme points
Find the minimum value of
.
FOr minimum value, we check on extreme points
Find the minimum value of
.
FOr minimum value, we check on extreme points