Question

Help me answer this... sorry if blurry✌​

Answer 1

Answer:

Find:

1. What kind of function us f(x)? g(x)?

2. Complete the table of values using the indicated function.

3. What are the differences between two adjacent x-values in each table?

4. Find the differences between each adjacent y values in each table, and write them on the blanks provided.

5. What do you observe?

6. How can you recognise a quadaric function when a table of values is given.

7. Using the tables of values, graph the two functions and compare the result.

Given:

$f(x) = 2x + 1$

$g(x) = {x}^{2} + 2x - 1$

Step-by-step explanation:

1. f(x) is linear and g(x) is Quadratic Functions.

2. f(x) = 2x + 1

x -3 -2 -1 0 1 2 3

y 5 -3 -1 1 3 5 7

g(x) =x²+2x-1

x -3 -2 -1 0 1 2 3

y 2 -1 -2 -1 2 7 14

3. -1 is the difference between two adjacent x values in each table.

4. -2 is difference between y values in 2x+1.3, 1,-1, -3, -5, -7 is difference between y values in x² + 2x - 1.

5. adjacent difference of x values is uniform for each table. whereas y values of difference is only uniform for 2x +1.

6. we will first verify the distance between adjacent y values and x values, if y value is different from each individual difference value then Quadratic Function.

7. you can refer graph from attachment difference is that qudratic function forms curve whereas linear forms straight line.

SPJ3

Answer 2

Given:

2 functions

f(x) = 2x + 1, g(x) = x^2 + 2x - 1

Solution:

1. f(x) is linear function as highest degree of x is 1 and g(x) is a quadratic function since highest degree of x is 2.

2.

In f(x)

if x = -3, y = -5

x = -2, y = -3

x= -1, y = -1

x = 0, y = 1

x = 1, y = 3

x = 2, y = 5

x =3, y = 7

In g(x)

if x = -3, y = 2

x = -2, y = -1

x= -1, y = -2

x = 0, y = -1

x = 1, y = 2

x = 2, y = 7

x =3, y = 14

3. the difference between two adjacent x values in both the tables is -1.

4. the difference between y values in f(x) is -2. 3, -1, 1, 3, 5, 7 is difference between y values in g(x).

5. adjacent difference of x values is uniform for both the tables whereas y values of difference is only uniform for f(x).

6. we will first verify the distance between adjacent y values and x values, if the difference between y values is not constant then it is a Quadratic Function.

7. graph is shown below

#SPJ3