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Unit 2: Function Features
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Terms in this set (30)
Maximum
the highest y-value on the graph of a function
Minimum
the lowest y-value on the graph of a function
domain
the set of all x values (inputs)
look LEFT to RIGHT
range
the set of all y-values (outputs)
look LOW to HIGH
y-intercept
the point where the graph crosses the y-axis.
Always (0, #)
x-intercept
point(s) where the graph crosses the x-axis. Also known as Zeros
axis of symmetry
the line that divides the function in half creating mirror images on either side
rate of change
the change in outputs over the change in inputs, OR Change in y/change in x. SLOPE
function
a relation where every x has exactly one y value
f(x)+k
Shift every point on f(x) UP k units
f(x+k)
Shift every point on f(x) LEFT k units
a* f(x) when a >1.
The graph of f(x) will get thinner.
transformation that occurs when putting a negative out in front
-f(x)
reflection in the x-axis
a*f(x) when 0<a<1.
The graph of f(x) will get wider
f(x)-k
Shift every point on f(x) DOWN k units
f(x-k)
Shift every point on f(x) RIGHT k units
f(x-2)+4
Moves every point on f(x) Right 2 Up 4
f(x+2)+4
Moves every point on f(x) left 2 Up 4
Parabola
f(x-4)+2
Moves every point on f(x) right 4 and up 2
f(x-4)-2
Moves every point on f(x) right 4 and down 2
the interval (0,5)
Where f(x) is increasing
The interval [2,20]
the Range of f(x) in the function:
y=20
the maximum value of the function:
The interval [0,9]
The domain of the function:
Absolute value
intervals of increasing
x-intervals where pierre is walking UPHILL
Intervals of decreasing
x-intervals where pierre is walking DOWNHILL
7
If f(x)=2x^2 +5, then f(-1) = ?
2
If f(x)=4x-5, then when does f(x)=3?
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