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3 years ago

Which set of ordered pairs could be generated by an exponential function?

Mathematics

2 answers:

KIM [24]3 years ago

8 0

Hello,

Answer C with y=2^x

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a_sh-v [17]3 years ago

8 0

By visually assessing we can eliminate the other choices until we have the ff:

(–1, –1), (0, 0), (1, 1), (2, 8)(–1, 1), (0, 0), (1, 1), (2, 4)
Well, it's definitely not the second set of points. Exponential functions are monotonic (either always increasing, or decreasing). In the second set, the function has decreased from (-1,1) to (0,0), and then increased from (0,0) to (1,1).

You might be interested in

What is the missing value in the proportion 4/5 = x/30?

ra1l [238]

Answer:

$\displaystyle x = 24$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

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

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4}{5} = \frac{x}{30}$

Step 2: Solve for x

[Multiplication Property of Equality] Cross-multiply: $\displaystyle 5x = 120$
[Division Property of Equality] Divide 5 on both sides: $\displaystyle x = 24$

4 0

2 years ago

Can anyone help me with this please

son4ous [18]

Answer:

its 34

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Based on housing data below which equation can be used to calculate fair housing prices?

VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

$y=mx+q$

where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097$

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

5 0

2 years ago

What is x if f(x)=2^x is graphed

Amanda [17]

THIS CANNOT BE ANSWERED .......................................................................

5 0

3 years ago

Please help me with the worksheet

aivan3 [116]

Answer:

9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2

10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3

11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1

12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2

Step-by-step explanation:

I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.

<h2>Definitions:</h2>

The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:

|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).

(h, k) = vertex of the function

x = h represents the axis of symmetry.

<h2>Solutions:</h2><h3>Question 9) ⇒ Vertex: (-4, 2)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):

y = a|x – h| + k

5 = a| 0 - (-4)| + 2

5 = a| 0 + 4 | + 2

5 = a|4| + 2

5 = 4a + 2

Subtract 2 from both sides:

5 - 2 = 4a + 2 - 2

3 = 4a

Divide both sides by 4 to solve for a:

$\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}$

a = ¾

Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:

Equation: y = ¾|x + 4| + 2

<h3>Question 10) ⇒ Vertex: (0, -3)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):

y = a|x – h| + k

-2 = a|4 - 0| -3

-2 = a|4| - 3

-2 = 4a - 3

Add 3 to both sides:

-2 + 3 = 4a - 3 + 3

1 = 4a

Divide both sides by 4 to solve for a:

$\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}$

a = ¼

Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:

Equation: y = ¼|x - 0| - 3

<h3>Question 11) ⇒ Vertex: (3, 1)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):

y = a|x – h| + k

-3 = a|4 - 3| + 1

-3 = a|1| + 1

-3 = a + 1

Subtract 1 from both sides to isolate a:

-3 - 1 = a + 1 - 1

a = -4

Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:

Equation: y = -4|x - 3| + 1

<h3>Question 12) ⇒ Vertex: (-2, -2)</h3>

Solve for a:

In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):

y = a|x – h| + k

0 = a|-4 - (-2)| - 2

0 = a|-4 + 2| - 2

0 = a|-2| - 2

0 = 2a - 2

Add 2 to both sides:

0 + 2 = 2a - 2 + 2

2 = 2a

Divide both sides by 2 to solve for a:

$\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}$

a = 1

Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:

Equation: y = |x + 2| - 2

5 0

2 years ago