Interpreting Key Features Algebra

Is the linear function increasing or decreasing? Where?

• Increasing over part of its domain

• Increasing over its entire domain

• Decreasing over part of its domain

• Decreasing over its entire domain

What are the x and y intercepts of the following linear function?

• X-intercept: -2

  Y-intercept: 3

• X-intercept: 3

  Y-intercept: -2

• X-intercept: 0

  Y-intercept: 0

• X-intercept: 2

  Y-intercept: 3

• X-intercept: 3

  Y-intercept: 2

What is the x-intercept shown on the graph?

• (2, 0)

• (-2, 0)

• (0, 3)

• (3, 0)

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

• -6

• -6 < x < -5 and -1< x < 0

• 4

• -5

What features (hint: there are two that apply) occur at the point (0,15)?​ ​ (a)   ​ (b)  

• interval of decrease

• interval of increase

• domain

• range

• maximum

• minimum

• x-intercept

• y-intercept

Answer explanation

(0,15) is the y-intercept because it's where the graph crosses the y-axis. It's also the maximum because it's the largest y-value.

Labeling the points of vertex, solutions, y-intercept

a

b

c

d

y-intercept

Vertex

Solution

Solution

Which graph represents a linear equation with no solution?

• A graph with two parallel lines

• A graph with two intersecting lines

• A graph with a single line

• A graph with two perpendicular lines

Based on the graph which statement is true?

• The solution is (-1,9)

• The graph has a x-intercept at (2,0)

• The graph has a y-intercept at (-4,0)

• The maximum point of the graph is (-1,-9)

What is that dashed line called?

• axis of symmetry

• x-intercept

• slope

• y-intercept