Which relation is a function?

Mathematics

2 answers:

Artemon [7]2 years ago

8 0

Answer:

Step-by-step explanation:

What makes a function is if each input or x-value has EXACTLY one output or y-value.

a. is wrong because the x value 1, has both an output of 1 and 4

b. is wrong because -1 is repeated 4 times with all different outputs

c. is correct because each input has exactly one output. None of the x values repeat itself

d. is wrong because -1 has 2 outputs.

so this is what makes a function and what doesn't. Hope this helps!

Rainbow [258]2 years ago

6 0

Answer:

b is the answer so circle b if youneed anything else cantact me

Step-by-step explanation:

ok please follow me and support

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A pair of running shoes cost 60.00. The sales tax is 3%. How much is sales tax?

____ [38]

Answer:

$1.8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Image attachment below, Algebra 1 stuff

chubhunter [2.5K]

I know you didn't want an explanation, but I'll give you one anyway.
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function.

The first batch of problems gave you the equation f(x) = $\frac{x}{2}$ + 3. Now, plug in the numbers given for s and solve.

1. f(5) = $\frac{x}{2}$ + 3 Plug in 5 for x
 = $\frac{5}{2}$ + 3 Make three into a fraction over 2
= $\frac{5}{2}$ + $\frac{6}{2}$ Add
= $\frac{11}{2}$

2. f(-4) = $\frac{x}{2}$ + 3 Plug in -4 for x
= $\frac{-4}{2}$ + 3 Divide -4 by 2
= -2 + 3 Add
= 1

For the next set, you have g(x) = x² + 1.

3. Let's split this up. Solve the first equation, then the second, and then put the answers together to solve it.

g(4) = x² + 1 Plug in 4 for x
= 4² + 1 Square
= 16 + 1 Add
= 17

g(3) = x² + 1 Plug in 3 for x
= 3² + 1 Square
= 9 + 1 Add
= 10

Now, put the two together.

g(4) + g(3) = Substitute in the answers you just got.
17 + 10 = Add
= 27

4. g(-1) = x² + 1 Substitute in -1 for x
= (-1)² + 1 Square
= 1 + 1 Add
= 2

5. g(-6) = x² + 1 Plug in -6 for x
= (-6)² + 1 Square
= 36 + 1 Add
= 37

For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.

6. h(-6) = x² + 7 Plug in -6 for x
= (-6)² + 7 Square
= 36 + 7 Add
= 43

k(4) = 4x - 5 Plug in 4 for x
= 4(4) - 5 Multiply
= 16 - 5 Subtract
= 11

Put the two answers into the final equation.

h(-6) + k(4) = Substitute in the answers you got
43 + 11 = Add
= 54

7. k(10) = 4x - 5 Plug in 10 for x
= 4(10) - 5 Multiply
= 40 - 5 Subtract
= 35

h(2) = x² + 7 Plug in 2 for x
= 2² + 7 Square
= 4 + 7 Add
= 11

Now, put those into the equation.

k(10) - h(2) = Plug in the answers you got
35 - 11 = Subtract
= 24

8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.

(x² + 7) + (4x - 5) =
x² + 7 + 4x - 5 = Combine like terms (7 and -5)
x² + 2 + 4x = Reorder so the variables come first
= x² + 4x + 2

4 0

3 years ago

Read 2 more answers

Point A is located at (−2, −6), and D is located at (−6, 8). Find the coordinates of the point that lies halfway between A and D

Afina-wow [57]

Answer:

(-4,1)

Step-by-step explanation:

Point A is located at (−2, −6), and D is located at (−6, 8).

We need to find the midpoint of A and D

Mid point formula is $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$