I need help with this problem. -1 > -2(x - 4) - 5(4x - 7). I looked at example for this kind of problem and can't finger it o
1 answer:
You might be interested in
Answer as an inequality:
Answer in interval notation: [2, 7]
==========================================================
Explanation:
The range is the set of all possible y outputs of a function.
The lowest point occurs when y = 2
The highest point occurs when y = 7
The range is the set of every y value between 2 and 7, including the endpoints.
The range as an inequality is
It is equivalent to [2, 7] in interval notation. The square brackets include each endpoint.
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. <u>[Attached]</u>
The coordinates of the y intercept are (0,3).
