Answer:
Explanation:
You have the following function:
![f(x)=-3x+7](https://img.qammunity.org/2021/formulas/mathematics/college/1cjy5gjzdg9mcw7r86i77vgkjxlx49y5sz.png)
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=(7)/(3)\approx2.33](https://img.qammunity.org/2021/formulas/mathematics/college/nxr87w8bou2n0fosuutug3evg52cztlhcb.png)
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.