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Which set of ordered pairs could be generated by an exponential function?
An exponential function can be represented in the form ( f(x) = ab^x ), where ( a ) is a constant and ( b ) is a positive real number. The set of ordered pairs generated by such a function will show a rapid increase or decrease, depending on whether ( b > 1 ) or ( 0 < b < 1 ). For example, the pairs ( (0, 1), (1, 2), (2, 4), (3, 8) ) could represent the exponential function ( f(x) = 2^x ). In contrast, a linear function would produce pairs with a constant difference in the ( y )-values as ( x ) increases.
How do you know when an ordered pair could not be in a function?
Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
What is 3x plus 2 an example of?
It could be a function or a linear expression.
What are 3 different methods that can graph a linear equation?
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
Is the circumference of a circle a linear function of its radius?
Yes.You could also state that the circumference is directly proportional to the radius. The proportionality constant is (2 pi).
Which set of ordered pairs could be generated by an exponential function?
An exponential function can be represented in the form ( f(x) = ab^x ), where ( a ) is a constant and ( b ) is a positive real number. The set of ordered pairs generated by such a function will show a rapid increase or decrease, depending on whether ( b > 1 ) or ( 0 < b < 1 ). For example, the pairs ( (0, 1), (1, 2), (2, 4), (3, 8) ) could represent the exponential function ( f(x) = 2^x ). In contrast, a linear function would produce pairs with a constant difference in the ( y )-values as ( x ) increases.
How do you know when an ordered pair could not be in a function?
Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
Could any linear function represent a line of reflection?
no it can't because linear fuctions are straight
What is 3x plus 2 an example of?
It could be a function or a linear expression.
What is a rule for the function identified by this set of ordered pairs?
You didn't show the Ordered Pairs so there is no way this question could be answered.
Which set of points could represent a linear function?
A set of points forming a straight line.
What are 3 different methods that can graph a linear equation?
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
What is a linear demand function?
It is a function of the form D = ax + b where a and b are some constants and x is a variable which is linearly related to the demand. x could be the price of the goods in question, or be the price of a complementary good, a substitute, or it could be income, or time. Also, a linear relationship does not mean a causal relationship.
What is the line graph in which the data points do not fallalong a straight line?
A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.
Which of the ordered pairs below could NOT be in this function{(0, 0), (1, 1), (2, 2), (4, 3)}?
(2, 4)
Is the circumference of a circle a linear function of its radius?
Yes.You could also state that the circumference is directly proportional to the radius. The proportionality constant is (2 pi).
What is the minimum number of constraints a linear programming problem can have?
One. To be a (non-trivial) linear programming problem both the objective function and the constraints must be linear. If there were no constraints then the objective function could be made arbitrarily large or arbitrarily small. (Think of a line in two-space.) By adding one constraint the objective function's value can be limited to a finite value.
