Part A
The graph passes through .
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points.
Using and .
We obtain the slope to be
Using and .
We obtain the slope to be
.
Since the slope is not constant(the same) everywhere, the function is non-linear.
Part B
A linear function is of the form
where is the slope and is the y-intercept.
An example is
A linear function can also be of the form,
where and are constants.
An example is
A non linear function contains at least one of the following,
- Product of and
- Trigonometric function
- Exponential functions
- Logarithmic functions
- A degree which is not equal to or .
An example is or or etc
Answer:
segment SR and segment UV
Step-by-step explanation:
the little arrow thingies mean the lines are parallel
Answer:
g = 0 or g = -1/2
Step-by-step explanation:
Solve for g:
8 g^3 - 2 g^2 = 2 g^3 - 5 g^2
Subtract 2 g^3 - 5 g^2 from both sides:
6 g^3 + 3 g^2 = 0
Factor g^2 and constant terms from the left hand side:
3 g^2 (2 g + 1) = 0
Divide both sides by 3:
g^2 (2 g + 1) = 0
Split into two equations:
g^2 = 0 or 2 g + 1 = 0
Take the square root of both sides:
g = 0 or 2 g + 1 = 0
Subtract 1 from both sides:
g = 0 or 2 g = -1
Divide both sides by 2:
Answer: g = 0 or g = -1/2
Answer:
y>-9/4
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