Make tables and graph the following functions. Find f(4) for each using your graphs.
Given f(x)=3x-2 find f(4) then
x=4
y=10
Confused on how to find a 2nd y value please help
5 years ago
5 years ago
I have to graph the function (x,y) after solving. X is know is 4,4 and y is 10 and ?.
5 years ago
Correction I know x is 4,4 and y is 10 and ?. Would y be 0?
5 years ago
no. y = f(x) = 3x-2
f(4) = 3*4-2 = 12-2 = 10
f(0) = 3*0-2 = -2
f(2/3) = 3*(2/3)-2 = 2-2 = 0
so, the points (4,10), (0,-2), (2/3, 0) are all on the graph
11 months ago
To find the value of the function f(4) when given f(x) = 3x - 2, we substitute the value of x as 4 into the expression for f(x) and simplify:
f(x) = 3x - 2
f(4) = 3(4) - 2
f(4) = 12 - 2
f(4) = 10
So, f(4) equals 10.
Next, to create a table and graph the function, we need to find more values of the function f(x) for different values of x. Let's choose a few values to calculate the corresponding y-values:
x | f(x) = 3x - 2
---------------------
1 | 3(1) - 2 = 1
2 | 3(2) - 2 = 4
3 | 3(3) - 2 = 7
4 | 3(4) - 2 = 10
5 | 3(5) - 2 = 13
To graph these points, we plot the x-values on the x-axis and the corresponding y-values on the y-axis. We then connect the points to create a line.
Here is a table representing the function f(x) = 3x - 2:
x | f(x) = 3x - 2
---------------------
1 | 1
2 | 4
3 | 7
4 | 10
5 | 13
And here is a graph of the function:
|
15 - + . .
| .
10 - + .
| .
5 - + .
| .
0 - +________________________
0 1 2 3 4 5
To find a second y-value, let's say f(2), you can either look at the graph and see that the corresponding y-value is 4, or you can calculate it using the function:
f(2) = 3(2) - 2
f(2) = 4
So, the second y-value for the function f(x) = 3x - 2 when x = 2 is 4.