Find the domain and the range of the relation. Determine whether the relation is a function.
input 5
output 1, -4,4,98
The domain is blank
The domain of the relation is {5}, as there is only one input value provided, which is 5.
The range of the relation is {1, -4, 4, 98}, as these are the output values given for the input of 5.
To determine whether the relation is a function, we need to check if each input value has a unique output value. In this case, the input of 5 has four different output values (1, -4, 4, 98), so the relation is not a function.
If f(x)=7x+8 find f(1)
f(1)= blank
To find f(1), we can substitute x = 1 into the function f(x) = 7x + 8:
f(1) = 7(1) + 8 = 7 + 8 = 15
Therefore, f(1) = 15.
Use the graph of the function f to find f(-3)
f(-3) = blank
Apologies for the confusion, but without the graph of the function f, it is not possible to determine the value of f(-3). Please provide the graph or more information about the function f for a more accurate response.
Use the graph of the function shown to the right to find all values of x such that g(X)=7
x=blank
Apologies, but as an AI text-based model, I don't have the ability to see or analyze any graphs. If you can provide the function or equation represented by the graph, I would be happy to help you find the values of x for which g(x) = 7.
The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x)=2.13x+94.18 , where x is the number of years since 2001. Find and interpret c(2) and estimate the per capita consumption of all poultry in the country in 2014
a. Find and interpret C(2)
C(2)=
(Type an integer or a decimal.)
To find C(2), we substitute x = 2 into the function C(x):
C(2) = 2.13(2) + 94.18
C(2) = 4.26 + 94.18
C(2) = 98.44
Therefore, C(2) is approximately 98.44.
Interpretation: C(2) represents the per capita consumption of all poultry in the country 2 years after 2001. In this case, it would represent the per capita consumption in the year 2003.
Now interpret C(2).
The per capita consumption of poultry was blank pounds in the year blank
Apologies for the confusion in my previous response.
Interpretation of C(2): C(2) represents the estimated per capita consumption of all poultry in the country in the year 2003. According to the given function C(x) = 2.13x + 94.18, where x is the number of years since 2001, the estimated per capita consumption of poultry in that year was approximately 98.44 pounds.
The per capita consumption in 2014 will be blank pounds
To estimate the per capita consumption of all poultry in the country in 2014, we can substitute x = 13 into the function C(x) = 2.13x + 94.18 since 2014 is 13 years after 2001.
C(13) = 2.13(13) + 94.18
C(13) = 27.69 + 94.18
C(13) = 121.87
Therefore, the estimated per capita consumption of all poultry in the country in 2014 is approximately 121.87 pounds.
that not it
I apologize for the confusion. To estimate the per capita consumption of all poultry in the country in 2014, we need to substitute x = 2014 - 2001 = 13 into the function C(x) = 2.13x + 94.18.
C(13) = 2.13(13) + 94.18
C(13) = 27.69 + 94.18
C(13) = 121.87
Therefore, the estimated per capita consumption of all poultry in the country in 2014 is approximately 121.87 pounds.
Challenge Decide whether the function is linear or nonlinear using both a table and a graph. Use pencil and paper. Find a linear function. Make a table and a graph for the function to explain why it is linear.
y=-(x-2)squared -2
To determine whether the function y = -(x-2)^2 - 2 is linear or nonlinear, we can examine it using a table and a graph.
Let's first create a table by substituting various values of x into the equation and calculating the corresponding y-values:
x | y
--------
0 | -6
1 | -3
2 | -2
3 | -5
4 | -10
Now let's plot these points on a graph:
Plotting the points (0, -6), (1, -3), (2, -2), (3, -5), and (4, -10) on a graph, we can see that they do not form a straight line. Instead, they form a downward opening curve.
Based on the information from both the table and the graph, we can conclude that the function y = -(x-2)^2 - 2 is nonlinear.
To find a linear function, we would need a function that represents a straight line. However, the given function y = -(x-2)^2 - 2 does not satisfy that criteria.