Answer:
y = 3x -8
Step-by-step explanation:
I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...
y = m(x -h) +k
For your m=3 and (h, k) = (3, 1), this equation becomes ...
y = 3(x -3) +1
Eliminating parentheses puts this in the form you desire:
y = 3x -8
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
