Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Answer:

Step-by-step explanation:
Let
x------> the cost of each ticket
we know that
----> inequality that represent the situation
solve for x
Divide by 3 both sides


Answer:
slope = 
Step-by-step explanation:
Calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
=
= 
Answer:
3. Not linear
4. Linear
Step-by-step explanation:
3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.
4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.