Question
Create a table of values for the function f(x)=4x-3 and graph the function. What is the y-intercept?
Answers
GPT 3.5
To create a table of values for the function f(x) = 4x - 3, we can choose some x-values and plug them into the equation to find the corresponding y-values.
| x | f(x) |
|-------|----------|
| 0 | -3 |
| 1 | 1 |
| 2 | 5 |
| 3 | 9 |
| 4 | 13 |
To graph the function f(x) = 4x - 3, we plot the points from the table above on a coordinate plane and draw a straight line connecting them.
The y-intercept of the function is the point where the graph intersects the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation gives us:
f(0) = 4(0) - 3 = -3
Therefore, the y-intercept of the function f(x) = 4x - 3 is (0, -3).
| x | f(x) |
|-------|----------|
| 0 | -3 |
| 1 | 1 |
| 2 | 5 |
| 3 | 9 |
| 4 | 13 |
To graph the function f(x) = 4x - 3, we plot the points from the table above on a coordinate plane and draw a straight line connecting them.
The y-intercept of the function is the point where the graph intersects the y-axis, which occurs when x = 0. Plugging in x = 0 into the equation gives us:
f(0) = 4(0) - 3 = -3
Therefore, the y-intercept of the function f(x) = 4x - 3 is (0, -3).