The solution is : Option b: y = x^5, function will eventually exceed the value of the other functions.
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The functions are:
a) y = 5*x
b) y = x^5
c) y = 3*x^3 + 10
d) y = 1000*x^3 + 1
This is really simple, here we need to know that when we have powers of x:
x^n and x^m
The one with the larger exponent will grow faster (specially for larger values of x)
Only with this, we can guess that the correct option is b.
But let's check that.
The other function that has the largest exponent (and also a very large coefficient) is option d
y = 1000*x^3 + 1
Now, if we evaluate both functions b) and d) in x = 1000, we get:
b) y = 1000^5
While in option d we have:
d) y = 1000*1000^3 + 1 = 1000^4 + 1
And clearly:
1000^5 > 1000^4 + 1
For larger values of x, this difference will be larger (you could also compare the function y = x^5 with the other ones for this value of x, and in all the cases you will see that option b is the larger one).
Then the correct option is b.
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complete question:
compare the functions in the table as the value of x increases which function will eventually exceed the value of th other functions A. y=5x b. y=x^5 c. y=3x^3 + 10 d. y= 1000x^3 + 1
Answer:
the domain is all real numbers and the initial value is 3 option a and c are the only correct answers!
Step-by-step explanation:
Math test scores
100 / // / / 20 people scored 100
95 / / / 12 people scored 95
90 / / / | 14 people scored 90
85/ 4 people scored 85
B.3n - 7
C.3 - 7n
D.7n - 3
Answer:
B. 3n-7
Step-by-step explanation:
The words seven less than means that seven will be subtracted. 3 times a number means that 3 is being multiplied by an unknown value or variable. Thats how you get 3n - 7
b. How many gallons of iced tea did you make?
c. About how many gallons of iced tea are left?