Arnie was given a function defined by f(z) 8r - 4 and asked to find the x-intercept. Arnie said to find the x-intercept you evaluate f(0) and get the point (-4, 0). 1. Explain to Arnie why this is wrong. 2. Demonstrate and explain how to find the correct x-intercept, and provide the answer as an ordered pair.
I want step by step solutions
1. Arnie is wrong because the x-intercept is the point at which the graph of the function crosses the x-axis. To find the x-intercept, we need to solve for x when y is equal to 0. Evaluating f(0) only gives us the y-coordinate of the point, not the x-coordinate.
2. To find the x-intercept, we need to solve for x when y is equal to 0. We can do this by rearranging the equation to isolate x.
f(z) = 8r - 4
8r = 4
r = 0.5
Therefore, the x-intercept is (0.5, 0), which can be written as an ordered pair.