F(x) = (2x + 1)(x - 2)(x + 3)

Mathematics

1 answer:

lora16 [44]4 years ago

7 0

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts are (-0.5, 0), ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0 so

(2x + 1) = 0 or (x - 2) = 0 or (x + 3) = 0

So x = -0.5, 2 or -3.

You might be interested in

Enter the letter for the function graphed below. <br> A) y=3^sqrt x-3<br> B) y=3 sqrt x -3

Ira Lisetskai [31]

Answer: е) Step-by-step explanation: we know the coordinates of the points so we can easily determine which function this is To begin with, let's take any two points with an integer coordinates let these be two points with coordinates (1 ; 4) and (0 ; 3) Now let's check $a) \ \displaystyle\bf 4=\sqrt[3]{1-3} \ \ wrong$ and all other options except option e are incorrect because $\displaystyle\ e) \sqrt[3]{1} +3=4 \ \ right$