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3 years ago

PLS HELP! Tell whether each of the following is a function or not. How do you know?

Mathematics

2 answers:

PtichkaEL [24]3 years ago

8 0

Answer:

Top two are functions bottom two are not, functions can only have one outpur for each input, or one y value for each x value.

Step-by-step explanation:

functions can only have one one output for every input. this means on a graph if you draw a vertical line if the graph touches that line in two places it is not a function, so the lower left graph is not a function.

if you only hae points or ordered pairs like the lower right part of the picture you have to make sure that each x value is only matched up with 1 y value. so there is (3, 3) and (3,9) both have the input (x value) of 3 but one has an output (y value) of 3 ad the other has 9, so one input has multiple outputs, or if you prefer one x value coresponds to multiple y values. Either way is correct.

Important to say multiple inputs can have the same output. For instance x^2 has both -2 and 2 as inputs have 4 as outputs, but it is still a function. if it had 2 correspond to BOTH 4 and -4 or something else then it would not be a function.

Nataly [62]3 years ago

7 0

Answer: It is

Step-by-step explanation:

None of the lines will ever touch each other resulting in a function.

You might be interested in

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

andre [41]

Answer:

60 yards

Step-by-step explanation:

300 = 2(30 + w) + 2(w)

300 = 60 +2w + 2w

300 = 60 + 4w

240 = 4w

60 = w

5 0

3 years ago

If f(x)=5x^3 and g(x)=x+1, find (f•g)(x)

alukav5142 [94]

Hello from MrBillDoesMath!

Answer:

5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices

Discussion:

f(x) = 5 x^3

g(x) = x+ 1

(f•g)(x) =

f(g(x)) =

f(x+1) =

5 * (x+1)^3 =

5 x^3 + 15 x^2 + 15 x + 5

which is none of the provided answers.

Thank you,

MrB

5 0

3 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$