Answer:
Step-by-step explanation:
You have the following function:
![f(x)=-3x+7](https://tex.z-dn.net/?f=f%28x%29%3D-3x%2B7)
The y-intercept of the function is given by the independent coefficient, which is 7.
y-intercept = 7
To obtain the x-intercept you equal the function to zero and solve for x, as follow:
![0=-3x+7\\\\3x=7\\\\x=\frac{7}{3}\approx2.33](https://tex.z-dn.net/?f=0%3D-3x%2B7%5C%5C%5C%5C3x%3D7%5C%5C%5C%5Cx%3D%5Cfrac%7B7%7D%7B3%7D%5Capprox2.33)
x-intercept = 2.33
Due to the coefficient of x is negative, the slope of the function is negative.
The function is a straight line, then, its domain all all real numbers and its range are all real numbers.
The graph of the function is attached in the image below.