Final answer:
The y-intercept of the function f(x) = 4 - 5x is the value of the function when x is 0, which is 4. It represents the point where the graph crosses the y-axis, so the correct answer is option c. 4.
Step-by-step explanation:
The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, we substitute x with 0 in the equation f(x) = 4 - 5x. Plugging in the values, we get f(0) = 4 - 5(0), which simplifies to f(0) = 4. Therefore, the y-intercept of the function is 4, which corresponds to the point (0, 4) on the graph.
By analyzing the options given:
- a. -5 is incorrect because it represents the slope of the equation.
- b. -4 is incorrect as it is not the result of the equation when x is 0.
- c. 4 is correct because it is the y-intercept of the equation when x is 0.
- d. 5 is incorrect as it does not correspond with any parameter in the equation.
Hence, the correct option for the y-intercept of the function f(x) = 4 - 5x is c. 4.