This is about interpretation of quadratic equation graphs.
<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>
<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>
<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>
a) f(x) = (x+3)(x-4)
Let us confirm the x-intercept.
x-intercept here is when y = 0.
Thus, at y = 0; x + 3 = 0 and x - 4 = 0
Thus, at y = 0; x = -3 and y = 4
- Let's now find the y-intercept;
y-intercept occurs when x = 0
Thus; y - intercept = (0 + 3)(0 - 4)
y - intercept = -12
- Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.
- This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)
Read more at; brainly.in/question/18896888
Just add the volumes of two boxes
volume of first box will be L×B×H
⇒6×5×5=150
volume of second box will be 4×4×4
= 64
total volume will be 150+64
= 214
Answer:
C. 1
Step-by-step explanation:
You are asked for the y-intercept of the piecewise-defined function f(x). That will be the value of f(0).
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<h3>function definition</h3>
We assume you intend the function definition to be ...
<h3>y-intercept</h3>
The first step in evaluating a piecewise-defined function is to identify the applicable domain and corresponding function definition. The value x=0 is included in the domain -2 ≤ x < 3, so the second part of the function applies.
f(0) = -0 +1 = 1
The y-intercept of function f is 1.
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Attached is a graph of the function showing its y-intercept.