Question

Please, help! Pretty urgent!

In a function, the set of all possible inputs or possible x values is called?
1. the Function
2. the Domain
3. the Range

In a function, the set of all possible outputs or possible y values is called?
1. the Function
2. the Domain
3. the Range

Let’s say you pay $70 per month for digital cable television. Your cable company offers pay per view movies for $3 per movie. Write a function that models the total cost of your cable bill.
1. f(x) = 70 + 3x
2. 3x + y = 70
3. y = 70/3x

Write a function for the situation: It cost $5.00 to enter the theme park and $2.00 for each ride.
1. y = 5/2x
2. f(x) = 5(2x)
3. f(x) = 5 + 2x

Determine the average rate of change of f(x) = x2 + 1 from x = 0 to x = 3.
(Picture: Image 1)
1. 3
2. 4
3. 7

Use the diagram below to find the angles of x and y.
(Picture: Image 2)
1. y = 105 degrees and x = 75 degrees
2. y = 105 degrees and x = 65 degrees
3. y = 150 degrees and x = 75 degrees

In the diagram below, each of the two angles shown have two sides that are congruent and point C and F have the same angle, are the two triangles congruent?
(Picture: Image 3)
1. yes
2. no

Thank you so, so much if you help! I'm dumb and can't figure this stuff out

Answer 1

1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.

=> Option 2 is correct.

2. As definition, in a function, the set of all possible outputs or possible y values is called the range.

=> Option 3 is correct.

3. You pay a fixed amount of 70$ and 3$ for each movie.

=> A function that models the total cost: y = 70 + 3x

=> Option 1 is correct

4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.

=> A function that models the total cost: y = 5 + 2x

=> Option 3 is correct.

5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.

=> R = (10 - 1)/(3 - 0) = 9/3 = 3

=> Option 1 is correct.

6. As property of vertical line: 75 = x - 10 + 20

=> x = 75 + 10 - 20 = 65 deg

As property of complement angles: 75 + y = 180

=> y = 180 - 75 = 105 deg

=> Option 2 is correct.

7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.

Hope this helps!

:)