Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
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 (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
None? Unless the second option is supposed to be 10^2 or the fourth option is 50 x 2.
I suggest you go to khan acadamey on youtube and look up this topic.
2: 23
3: B
hold on a sec i will keep answering but i wil post this part ill add the rest in the comments
Answer:
3x^{3} -66
Step-by-step explanation:
Answer:
c > 9
Step-by-step explanation:
Isolate the variable, c. Treat the greater than sign as an equal, what you do to one side, you do to the other. Add 7 to both sides:
c - 7 > 2
c - 7 (+7) > 2 (+7)
c > 2 + 7
c > 9
c > 9 is your answer.
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