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aleksandr82 [10.1K]
3 years ago
14

Find the explicit formula and the type of function

Mathematics
1 answer:
damaskus [11]3 years ago
4 0
Let's examine this, as x increases by 1, what happens to the y-value? The y-value decreases by 2, so the slope is -2. When x = 0, we have our y-intercept, -5. So we can fill in Slope form with the Slope and Y-intercept that the equation is:

y = -2x - 5
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Can you help me create a polynomial function matching the criteria on the left please and thanks
Olenka [21]

Answer:

f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

Step-by-step explanation:

From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)

Therefore,

x = -4 ⇒ x + 4 = 0

x = -1 ⇒ x + 1 = 0

x = 3 ⇒ x - 3 = 0

Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor

So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

\implies f(x) = \dfrac{1}{n}(x + 4)^2(x + 1)(x - 3)

If we multiply the constants, this will give us the y-intercept:

⇒ 4² x 1 x -3 = -48

From inspection of the graph, the y-intercept is -6

So to get from -48 to -6 we need to multiply -48 by 1/8

Therefore, n = 1/8

\implies f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

7 0
2 years ago
Read 2 more answers
Make a function table to represent his total savings for 2,4,6,8 and 10 months.
OlgaM077 [116]
Well, let's say that bananas cost $1.60 per pound. That means that at step 0 the value is 0, at step 1 the value is$1.60, at step 2 the value is $$3.20 and so on. To make a table from this we'd need two columns and four rows. On the top row we right step followed by amount. In the step column, we list the numbers 0-2. In the amount column we list 0, $1.60, and $3.20. In the end, a function table looks like this:
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3 years ago
Ivan rented a truck for the day. There is a base fee of $17.95, and there was an additional charge of 91 cents for each mile dri
lozanna [386]

Answer:

293 miles

Step-by-step explanation:

284.58-17.95=266.63

266.63/0.91=293

293 miles

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sveta [45]

Answer:

its an isosceles triangle

Step-by-step explanation:

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3 years ago
Solve for x<br> 4- (2x + 4) = 5
kaheart [24]

Answer:

x= -5/2

Step-by-step explanation:

4 - (2x+4)=5

4-2x-4=5

-2x=5

x=-5/2

4 0
2 years ago
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