Question

# Evaluate the function

Hint:

### This question is about a function. A function is a relation between two sets such that every element of first set is related to only one element in second set. In this question, we are given the relation between the input and output of the function. We are asked to find the value of function for a specific values.

## The correct answer is:

### The given function is p(x) = -(x – 1)

We have to find the value of p(x) for x = 0 and x = 5

When we substitute the value of x in the function, we get the value of the function for that input.

First, we have x = 0

We will replace all the x in the above equation by 0. Then, we will solve the equation and get the required value.

p(x) = -(x – 1)

p(0) = -[(0) – 1]

= -(-1)

p(0) = 1

Now, x = 5

p(x) = -(x – 1)

p(5) = -[(5) – 1]

= -(4)

p(-5) = -4

So, the answers are p(0) = 1 and p(-5) = -4.

￼

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

### Related Questions to study

### Identify the function that is linear.

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

### Identify the function that is linear.

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.

¶

¶

### A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.

### A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.

### A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.

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

### A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.

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

### When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?

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

### When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?

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.

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{(-5,0); (-2,4); (-1,-3); (2,4); (4,-1)}

### For the set of ordered pair shown, identify the domain.

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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 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 functions.

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