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Rainbow [258]
3 years ago
8

2. Which rule defines the function in the graph shown?

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer:

Function rule is option c.

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Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Free_Kalibri [48]

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

5 0
3 years ago
What does it mean to the rise over run when the slope is an integer?
Brilliant_brown [7]

Answer: I think it’s C.

sorry if it’s wrong❣️.

8 0
3 years ago
What is the remainder of 5x^2 - 3x - 36 divided by x - 3
lidiya [134]

Answer:

5x^-3x-36/x-3

Step-by-step explanation:

3 0
3 years ago
Most of us are struggling with school rn and have finals coming up as well. its very stressful but try not to stress as much. ik
OleMash [197]
Hi, yes ive been struggling with like terms.
3 0
3 years ago
Help please n thanks
garri49 [273]

Answer:

The answer I would choose is c

Hope this helped :)

5 0
3 years ago
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