QUESTION IMAGE
Question
le for finding the domain and range of a function graphically
____ → inputs; found along the _________ axis ( _ to ___ )
____ → outputs; found along the _________ axis.( _ to ___ )
aph
domain and range of each function.
b.
c.
Step1: Recall Domain and Range Definitions
The domain of a function consists of all the input values (usually \( x \)-values), and the range consists of all the output values (usually \( y \)-values).
Step2: Identify Axis for Domain
For the domain (inputs), we look at the \( x \)-axis. The \( x \)-axis extends from negative infinity (\( -\infty \)) to positive infinity (\( \infty \)) in a typical coordinate system, but in the context of a graph, we consider the horizontal axis (x - axis) where the inputs (x - values) lie, from left (negative direction) to right (positive direction). So the first blank (for inputs) is "Domain", the axis is "x", and the direction is "left" to "right" (or \( -\infty \) to \( \infty \) in terms of values, but contextually left to right for the axis).
Step3: Identify Axis for Range
For the range (outputs), we look at the \( y \)-axis. The \( y \)-axis extends from bottom (negative direction) to top (positive direction) in a coordinate system. So the second blank (for outputs) is "Range", the axis is "y", and the direction is "bottom" to "top" (or \( -\infty \) to \( \infty \) in terms of values, but contextually bottom to top for the axis).
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- Domain → Inputs; Found along the \( \boldsymbol{x} \) axis (left to right)
- Range → Outputs; Found along the \( \boldsymbol{y} \) axis (bottom to top)