Create a table of values for the function f(x)=4x−3 , and graph the function. What is the y -intercept?
To create a table of values, we can choose different values of x and calculate the corresponding values of f(x) using the formula f(x) = 4x - 3.
Table of values:
x | f(x)
0 | -3
1 | 1
2 | 5
3 | 9
4 | 13
To graph the function, plot the points (0,-3), (1,1), (2,5), (3,9), and (4,13) on a coordinate plane and connect them with a straight line. The graph should show a line sloping upwards from left to right.
The y-intercept of the function f(x)=4x−3 is the point where the graph intersects the y-axis. In this case, the y-intercept occurs when x = 0, which we can see from the table of values is the point (0,-3). Therefore, the y-intercept is -3.