Question

3.Describe the intervals of increasing/decreasing of the following quadratic function graphed.
points on the graph is (3,1) (2,0) (1,0)

(4 points)
The quadratic function is Increasing from
to
and decreasing from
to
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2.Question
use True or False to Answer the following questions about intervals of increasing and decreasing.(3 points)

Linear functions are ALWAYS increasing or decreasing but never both. Press enter key to drop response here.Response input area

Quadratic functions will ALWAYS have one interval of increasing and one interval of decreasing. Press enter key to drop response here.Response input area

Exponential functions are always increasing. Press enter key to drop response here.Response input area


1.When describing intervals of increasing and decreasing of a quadratic function, which of the following points is most important. (1 point)
Responses

Vertex
Vertex

y-intercept
y-intercept

x-intercept
x-intercept

axis of symmetry
axis of symmetry

Answer 1

3) Given points (1,0) and (2,0) the axis is x = 1.5. Using (3,1) shows the parabola opens upward, so it decreases to the vertex at x = 1.5 then increases after.

- Increasing from 1.5 to ∞
- Decreasing from −∞ to 1.5

2) True/False
- Linear functions are ALWAYS increasing or decreasing but never both. — False (a constant linear function m=0 is neither increasing nor decreasing).
- Quadratic functions will ALWAYS have one interval of increasing and one interval of decreasing. — True (nondegenerate quadratics have a single turning point).
- Exponential functions are always increasing. — False (base >1: increasing; base between 0 and 1: decreasing).

1) Most important point when describing increasing/decreasing of a quadratic: Vertex.