Graph the function f(x) = x3 − 15x2 + 68x − 96. Describe the graph. Include the y-intercept, x-intercepts, and the shape of the graph.

Answers

Answer 1

Answer: The function is a cubic function with y intercept at y = -96 and x-intercepts at x = 3, x = 4 and x = 8.
The graph is looks like an 'S' shape rotated to the left.

Answer 2

Answer: yintercept is where x=0
xint is where y=0
shape is 3rd degree and positive leading coefient
it goes from bottom left to top right

yint is -96
xint
factor
f(x)=(x-8)(x-4)(x-3)
xints are at (8,0) and (4,0) and (3,0)

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Find the slope of the ordered pair. M(3,8) N(5,14)

Answers

Answer:

Step-by-step explanation:

Slope formula, change if y over change of x

14 - 8 = 6

5 - 3 = 2

6/2 = 3

Polygon ABCDE rotates 45° clockwise about point F to produce polygon FGHIJ as shown. What is mBCD?

Answers

The order of letters is important.
Since polygon ABCDE is rotated to produce polygon FGHIJ, then image of A is F, image of B is G, and so on.
And since rotation preserves the shape, then
m∠BCD = m∠GHI = 127°

How do you solve ∣∣x∣∣-8 < -4

Answers

$||x||-8 < -4\n|x|< 4\nx<4 \wedge x>-4\nx\in(-4,4)$

A rhombus is a quadrilateral that has exactly one pair of parallel sides.
True or false

Answers

Answer:

False

Step-by-step explanation:

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

PLEASE HELP!

Identify the center and radius of the circle (x+4)^2 + (y-2)^2=16

Answers

The equation for a circle is x^2+y^2=r^2 so the radius is the square root of 16 which is 4. Then you take y-2 and set it equal to 0. This gives you y=2 as the y coordinate of the center. You then set x+4 equal to 0 which gives you x=-4 which is the x coordinate of the center. So the radius is 4 and the center is at (-4,2)

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Answers

The equation of the composite function is f(h(x)) = 2x-4.

What is Composite Function?

Function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the functiong is applied to the result of applying the function f to x.

Here, f(x) = x - 7

h(x) = 2x + 3

Now, f(h(x)) = f ( 2x + 3)

= (2x+3)-7

= 2x + 3 -7

= 2x - 4

Thus, the equation of the composite function is f(h(x)) = 2x-4.

Learn more about Composite Function from:

brainly.com/question/20379727

#SPJ2

Answer:

Step-by-step explanation: