Create an image illustrating a concept from mathematics, specifically focused on the function concept. Visualize a 2D graph laid on a grid, with an X-axis representing the domain and a Y-axis representing the range. The domain consist of points -1, 0, 1, 2, and 3. Depict a linear equation represented by a straight line in line with the function f(x)=4x-1. Ensure the image is clear, simplified and visually appealing, highlighting the relation between X and Y values. Remember, the image should carry no text.

Find the range of the function f(x)=4x-1 for the domain {-1, 0, 1, 2, 3,}.

a. {-5, -3, 0, 7, 11}
b. {-5, -4, -3, -2, -1}***
c. {-11, -7, -3, 1, 5}
d. {-5, -1, 3, 7, 11}

For those on Connexus in 2021 looking for all the answers:

1. Solve the following problem: –43 + 17 =
A. 60
B. 26
C. –26****
D. –60

2. Solve the following problem: –20 – 65 + 4 =
A. –81***
B. –89
C. 89
D. 49

3. Simplify the following expression: 121 ÷ 11 + 3 ∙ 4 ÷ 2
A. 15
B. 4.32
C. 28
D. 17***

4. Simplify the following expression: 21(x – 4) + 2
A. 21x – 2
B. 107x
C. 21x – 82***
D. 27x

5. Solve the following equation: 5x – 102 = 13
A. 23***
B. –23
C. –17.8
D. 17.8

6. Solve the following equation: 2x – 31 = 3(x + 2)
A. 37
B. –37***
C. 5
D. 37/5

7. Find the range of the function f(x) = 4x – 1 for the domain {–1, 0, 1, 2, 3}.
A. {–5, –3, 0, 7, 11}
B. {–5, –4, –3, –2, –1}
C. {–11, –7, –3, 1, 5}
D. {–5, –1, 3, 7, 11}***

8. Find the slope of the graph of the following: 9x – 3y = 15
A. –3
B. 3***
C. (–1/3)
D. 1/3

9. How many solutions does this system have?
x – 2y = 2
y = –2x + 5
A. infinitely many solutions
B. no solutions
C. two solutions
D. one solution***

10. Solve the system by either substitution or elimination.

3x – 5y = 21
2x + y = 1
A. (2, –3)***
B. (2, 3)
C. (–2, –1)
D. (–2, 1)

11. What is the slope-intercept form of the equation 4x + 2y = 6?
A. y = 2x + 3
B. y = 2x – 3
C. y = –2x – 3
D. y = –2x + 3***

12. Find the solution to the system of equations.
a graph with a plotted point is shown
A. (1, 4)
B. (4, 1)***
C. (0, 3)
D. (4, –1)

***=answer

Hope this helped if you're looking for the answer to every question!

nope

Did you sub in the values of x given ?
I just did two of them
when x = 3, f(3) = 11
when x = 1, f(1) = 3

none of a), b), or c) have those correct, so we rule out those three answers.
Mmmmhhh, wonder what that leaves.

100% correct

Thank you so much, Reiny. Learned a lot from you :)

Yes Mid - Year Refresher Review is 100% correct as of January 6, 2022

yup thx

tysm!!

Mid-Year Refresher Review is still correct!

still correct as of Feb 2-2-22

omg thank you sm mid year