1. Graph & give the domain, range, & zeros of y=f(x) = 3x - 6
1 answer:
Answer:
graph: see image
D: all real numbers
R: all real numbers
zero: 2
Step-by-step explanation:
y = 3x - 6 is a line. Make a point at -6 on the y-axis because that is the y-intercept. The slope is 3, written as a ratio is 3/1. This means go UP3 and OVER1. You can go UP3 OVER1 as many times as will fit on the graph. Then you can kind of see the line. Draw the line through the points.
The domain is all the x's that are on the graph or all the numbers that can be used in place of x in the equation. In 3x-6 you can use any number. On the graph the line goes forever in both directions. So the domain is all real numbers.
The range is all the y's on the graph or all the y-values that can be produced by the equation. Similarly, the range is all real numbers.
To find the zero(s) let f(x) = 0 and solve. Remember, roots are solutions are zeros are x-intercepts. Its a little oversimplified, but roots are solutions are zeros are x-intercepts.
f(x) = 3x - 6
0 = 3x - 6
6 = 3x
2 = x
The zero is 2 (you can see this as the x-intercept on the graph).
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