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3 years ago

Which of the following are characteristics of the graph of the absolute value parent function?

Mathematics

2 answers:

lora16 [44]3 years ago

7 0

The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.

The absolute value function is

f(x) = |x| or y = |x|

We also know that the absolute function can be wriiten as

y = |x|

=> y = x or y = -x

Comparing with y = mx + c

We get

m = 1 or m=-1 and c = 0

c = 0 implies that the line passes through the origin.

Hence the slopes shall be -1, 1 & the line passes through the origin.

Option A, B & D are the right answers.

Leni [432]3 years ago

4 0

The correct answer for the given question above would be all but C. The characteristics of the graph of the absolute value parent function are the following: The left half has a slope of −1; The right half has a slope of 1 and it goes through the origin. Hope this answers your question. Have a great day!

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3 years ago

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Find the domain, range and if it’s a function.

Marta_Voda [28]

Domain: {-1}
Range: {0, 4, 9, 15}
Function? No

Explanation:
The domain is the x value in the given points. The only x value is -1.
The range is the y value in the given points.
You can tell if this is a function if it has repeating x values or not. Since the x value of -1 repeats, it is not a function.

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2 years ago

PLEAAseeeeeeeeeeeeeeeeeeeeeee

aleksandr82 [10.1K]

Answer:

$1.25\cdot10^{5}$ $or$ $125000$

Step-by-step explanation:

$--------------------------------------------$

$1)$ $64\cdot10^{6}$ = $64000000$

$2 )$ $32\cdot10^{6}$ = $32000000$

$3)$ $16\cdot10^{6}$ = $16000000$

$4)$ $8\cdot10^{6}$ = $8000000$

$5)$ $4\cdot10^{6}$ = $4000000$

$6)$ $2\cdot10^{6}$ = $2000000$

$7)$ $1\cdot10^{6}$ = $1000000$

$8)$ $5\cdot10^{5}$ = $500000$

$9)$ $2.5\cdot10^{5}$ = $250000$

$10)$ $1.25\cdot10^{5}$ = $125000$

$--------------------------------------------$

The way I solved this question was by dividing each scientific form by two.

$--------------------------------------------$

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$--------------------------------------------$

6 0

2 years ago

What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)

Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

$Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}$