In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)

Function in the example:

$\frac{(-2x-2)(2x-10)}{-9x-81}$

7 0

3 years ago

What is the y and x intercept for f(x)=3x-2 find f(-5)

masya89 [10]

Answer: The y- intercept is -2. The x-intercept is 2/3

The attachment shows the solutions.

Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.

0 = 3x -2 . Add 2 to both sides

2 = 3x . Divide both sides by 3

2/3 = x the x-intercept is 2/3

To find f(-5) substitute -5 for x and solve.

f(-5) = 3(-5) -2

f(-5) = -15 -2

f(-5) = -17

5 0

3 years ago

Factor this trinomial.

AnnZ [28]

Answer:

factoring this trinomial of x2 + x - 2? i got you covered. it's good that this is a multiple choice question because you can work backwards. the answer is C because all you have to do is first multiply the 2 x's to make x to the power of two. then you multiply the first x with -1 to make -x. then you make 2x by multiplying the 2 with x and -2 by multiplying 2 by -1. then you combine the common factors.

Step-by-step explanation:

(x + 2)(x - 1)

(x)(x) = x2

2 x -1 = -2

x2 - x + 2x -2

x2 + x - 2

8 0

3 years ago