Question

characteristics of graphs worksheet
domain: _________
range: _________
max: ___________
min: ___________
discrete or continuous?
y - intercept(s): _________
x - intercepts(s): ___________
7* f(5) = ____________

Explanation:

Step1: Identify domain (x-values)

The graph spans all x-values from $-5$ to $5$, inclusive.
Domain: $-5 \leq x \leq 5$

Step2: Identify range (y-values)

The lowest y-value is $-4$, highest is $4$.
Range: $-4 \leq y \leq 4$

Step3: Find maximum y-value

The peak of the graph has $y=4$.
Max: $4$

Step4: Find minimum y-value

The lowest point has $y=-4$.
Min: $-4$

Step5: Classify graph type

The graph is an unbroken curve.
Discrete or continuous? Continuous

Step6: Locate y-intercept

The graph crosses y-axis at $(0,0)$.
y-intercept(s): $(0, 0)$

Step7: Locate x-intercepts

The graph crosses x-axis at $(-5,0)$, $(0,0)$, $(5,0)$.
x-intercepts(s): $(-5, 0)$, $(0, 0)$, $(5, 0)$

Step8: Calculate $7*f(5)$

$f(5)=0$, so $7*0=0$.
$7*f(5) = 0$

Answer:

Domain: $\boldsymbol{-5 \leq x \leq 5}$
Range: $\boldsymbol{-4 \leq y \leq 4}$
Max: $\boldsymbol{4}$
Min: $\boldsymbol{-4}$
Discrete or continuous? $\boldsymbol{\text{Continuous}}$
y-intercept(s): $\boldsymbol{(0, 0)}$
x-intercepts(s): $\boldsymbol{(-5, 0), (0, 0), (5, 0)}$
$7*f(5) = \boldsymbol{0}$