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Ivanshal [37]
1 year ago
7

O GRAPHS AND FUNCTIONSGraphing a function of the form f(x) = ax + b: Integer slopeGraph the function h(x) = -5x +3.

Mathematics
1 answer:
Alborosie1 year ago
3 0
Graphs of linear functions

Since we are graphing a line, if we have two points we can plot the whole line

We evaluate the line in two points in order to locate two places where it passes through. We say y = h(x)

1. If x = 0 then

h(x) = - 5(0) +3

= 0 + 3

= 3

Then y = 3

2. If x = 2 then

h(x) = - 5(2) +3

= -10 + 3

= -7

Then y = -7

Now, we have two points: (0, 3) and (2, -7)

We locate them and then we plot the only straight line that passes through both points

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Answer:

○ \displaystyle 25\%

Step-by-step explanation:

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The answer to this question is 25%

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3 years ago
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
3 years ago
Can somebody please
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

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-8x-8=8[-1-1]

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3 years ago
Cady's cats often share a carton of cat milk. Sammy always drinks 1/3 of the carton, tommy drinks 5/12 of the carton and Suzi dr
juin [17]
Start by making the denominators equal.

1/3 becomes 4/12
1/6 becomes 2/12
and you have 5/12.

Add together to get 10/12.

Once simplified, the answer should be 5/6.
4 0
3 years ago
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