Answer:
3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞
Step-by-step explanation:
This is a negative cubic graph, therefore:
Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.
On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.
Explanation:
f(x) = (x-4)(x+2)
1) For x-intercept, y will be 0
<u />
<u>x-intercept</u>: (4, 0), (-2, 0)
2) For vertex: x = -b/2a where ax² + bx + c
<u>Quadratic function</u>:
<u>vertex</u>:
y: (x-4)(x+2) = (1-4)(1+2) = -9
ordered pair of vertex: (1, -9)
3) For y-intercept, x will be 0
<u>y-intercept</u>: (0, -8)
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer:
Answer:
ghjkld587654341687981
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Step-by-step explanation:
Answer:
ghjkld587654341687981
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Step-by-step explanation:
Answer:
ghjkld587654341687981
ds
Step-by-step explanation:
Step-by-step explanation:
You will multiply 2 1/4 x 1 1/4 to determine how many pounds of apples Alex buys.
2 1/4 x 1 1/4
9/4 x 5/4 = 45/4 or 11 1/4