Questions: We need to use common vocabulary when describing graphs: a. Domain The part of the graph with the lowest y-value b. Range All of the y-values that are needed to graph the function c. Rate of Change Where the y-value increases when x increases. d. Minimum Where a graph crosses the x axis e. Increasing The part of the graph with the highest y value. f. Decreasing Where the y-value decreases when x increases. g. Maximum All of the x-values that are needed to graph the function h. x-Intercept Where the y-value doesn't change when x increases. I. y-Intercept The slope! How "steep" the line is. Δy/Δx

We need to use common vocabulary when describing graphs:
a. Domain  The part of the graph with the lowest y-value
b. Range  All of the y-values that are needed to graph the function
c. Rate of Change  Where the y-value increases when x increases.
d. Minimum  Where a graph crosses the x axis
e. Increasing  The part of the graph with the highest y value.
f. Decreasing  Where the y-value decreases when x increases.
g. Maximum  All of the x-values that are needed to graph the function
h. x-Intercept  Where the y-value doesn't change when x increases.
I. y-Intercept  The slope! How "steep" the line is. Δy/Δx
Transcript text: We need to use common vocabulary when describing graphs: a. Domain $\qquad$ The part of the graph with the lowest $y$-value b. Range $\qquad$ All of the $y$-values that are needed to graph the function c. Rate of Change $\qquad$ Where the $y$-value increases when $x$ increases. d. Minimum $\qquad$ Where a graph crosses the $x$ axis e. Increasing $\qquad$ The part of the graph with the highest $y$ value. f. Decreasing $\qquad$ Where the $y$-value decreases when $x$ increases. g. Maximum $\qquad$ All of the $x$-values that are needed to graph the function h. x-Intercept $\qquad$ Where the $y$-value doesn't change when $x$ increases. I. $y$-Intercept $\qquad$ The slope! How "steep" the line is. $\frac{\Delta y}{\Delta x}$
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Solution

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Solution Steps

Step 1: Identify the correct definition of Domain

The domain refers to all of the \( x \)-values that are needed to graph the function. The given definition in the question is incorrect. The correct definition is:
Domain: All of the \( x \)-values that are needed to graph the function.

Step 2: Identify the correct definition of Range

The range refers to all of the \( y \)-values that are needed to graph the function. The given definition in the question is correct.
Range: All of the \( y \)-values that are needed to graph the function.

Step 3: Identify the correct definition of Rate of Change

The rate of change refers to the slope of the function, which is calculated as \( \frac{\Delta y}{\Delta x} \). The given definition in the question is incorrect. The correct definition is:
Rate of Change: The slope! How "steep" the line is. \( \frac{\Delta y}{\Delta x} \).

Final Answer

  • a. Domain: Incorrect, correct definition is "All of the \( x \)-values that are needed to graph the function."
  • b. Range: Correct, definition is "All of the \( y \)-values that are needed to graph the function."
  • c. Rate of Change: Incorrect, correct definition is "The slope! How 'steep' the line is. \( \frac{\Delta y}{\Delta x} \)."
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