Question

# The graph of is a _________ of when 0 < k < 1.

- Horizontal stretch
- Vertical stretch
- Horizontal compression
- Vertical compression

Hint:

### variation of the function by changing the values of the independent variables by using constants leads to change in the properties of a function.

## The correct answer is: Vertical compression

### Vertical Compression:

In the function f(x), to do vertical compression by a factor of k, at every where of the function, y co-ordinate has to be multiplied by 1/k.

* The graph of g(x) can be obtained by compressing the graph of f(x) vertically by the factor k.

Given That:

The graph of is a _________ of when 0 < k < 1.

>>>This is an example of vertical compression since, it is variation of the independent variable by multiplying with the constant.

>>>>Therefore, it is the vertical compression.

Multiplying the output of a linear function f by k scales its graph vertically.

So, when 0 < k < 1 the transformed graph is a vertical compression.

### Related Questions to study

### Describe how the function compares with the graph of the function

f(x) = 5x+3 and g(x) = 5(x-2)+3

>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).

### Describe how the function compares with the graph of the function

f(x) = 5x+3 and g(x) = 5(x-2)+3

>>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).

### Describe how the graph of the function compares with the graph of the function

Vertical stretch is a type of compression of the functions with the independent variable.

### Describe how the graph of the function compares with the graph of the function

Vertical stretch is a type of compression of the functions with the independent variable.

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### The pollution level in the centre of a city at 6 am is 30 ppm (parts per million) and it grows in a linear fashion by 25 ppm (parts per million) every hour. If y is pollution and t is the time elapsed after 6 am, then determine the function that relates y with t .

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For such questions, we should know about the concept of function.

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For such questions, we should know about the concept of function.

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For such questions, we should know the concept of the function.

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For such questions, we should know the concept of the function.

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For such questions, we should know the concept of linear functions.

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For such questions, we should know the concept of linear functions.

### Ramona’s garage charges the following labor rates. All the customers are charged for at least 0.5 hr.

Write the linear function for the data in the table.

A linear function forms a straight line in a graph. It is usually a polynomial function with a degree of 1 or 0, and the equation f(x) = mx + b, where b and m are real numbers. Isn't it similar to the slope-intercept form of a line, which is written as y = mx + b? Yes, because a linear function represents a line.

¶Examples from daily life

1. To print logos on T-shirts, a t-shirt company charges a one-time charge of $50 and $7 per T-shirt. As a result, the total cost is given as a linear function f(x) = 7x + 50, where 'x' is the total number of t-shirts.

2. In linear programming problems, linear functions represent an objective function to minimize costs or maximize profits.

¶

¶

### Ramona’s garage charges the following labor rates. All the customers are charged for at least 0.5 hr.

Write the linear function for the data in the table.

A linear function forms a straight line in a graph. It is usually a polynomial function with a degree of 1 or 0, and the equation f(x) = mx + b, where b and m are real numbers. Isn't it similar to the slope-intercept form of a line, which is written as y = mx + b? Yes, because a linear function represents a line.

¶Examples from daily life

1. To print logos on T-shirts, a t-shirt company charges a one-time charge of $50 and $7 per T-shirt. As a result, the total cost is given as a linear function f(x) = 7x + 50, where 'x' is the total number of t-shirts.

2. In linear programming problems, linear functions represent an objective function to minimize costs or maximize profits.

¶

¶

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For such questions, we should know the concept of function.

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For such questions, we should know the concept of function.

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For such questions, we should know the concept of the function.

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For such questions, we should know the concept of the function.