1.1
A function that pairs each input with exactly one output.
What is a function?
The rate at which a function’s output changes as the input changes.
What is rate of change?
If a function’s graph bends upward, it is called this.
What is concave up?
This letter is used for the input values of a function, and when we talk about the domain, we write these values.
What is x?
A line that crosses the y-axis at a specific point.
What is y-intercept?
If as one quantity increases, the other quantity also increases, is the rate of change positive or negative?
What is positive?
What happens to the slope of a quadratic function as x changes?
It changes (is not constant).
This letter shows the output values of a function, and when we talk about the range, we write these values.
What is y?
A function whose outputs increase as the input increases
What is increasing?
If as one quantity increases, the other quantity decreases, is the rate of change positive or negative?
What is negative?
For a linear function, the slope is always this.
What is constant?
When we say where the graph is concave up or concave down, we write these values to show the intervals.
What are x-values?
A function whose outputs decrease as the input increases.
What is decreasing?
What is the average rate of change formula?
f(x2) - f(x1) / x2 -x1
For a linear function, the slope is constant, so the rate of change of the average rate of change is always this.
zero
This is the highest point on a graph. We usually write this value as a number on the y-axis
What is a maximum?
How can you tell if a function is positive or negative by looking at its graph?
What is by checking the output values (y-values) of the function?
Estimate the rate of change at the given point.
f(x) = x2 + 3 ; x = -1
-1.9
A quadratic function has slopes that are changing. If the slopes are increasing, is the function concave up or concave down?
concave up
When you describe the maximum or minimum point on a graph, this is the value you usually give.
What is the y-value?