How to write domain and range

1 answer:

8 0

Domain is the complete list of x-values that a function can have, and the range is the complete list of y-values that a function can have.

Domain and range can be written as (x, y) if the domain/range does not include the x or y value.

Domain/range can be written as [x, y] if the domain/range does include the x or y value.

If the function has multiple intervals, we use U to symbolize "union."

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Let f(x)=2.912345x^2+3.131579x-0.099999

Rudiy27

A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²+3.131579x-0.099999
f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.

5 0

2 years ago

The amount of money,y, in cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-inte

victus00 [196]

Amount of money received when x tickets are sold=$Y

Number of tickets sold=X

Slope of line= $\frac{1}{4}$