Answer:
f(x) is quadratic. g(x) and h(x) are linear.
Step-by-step explanation:
So we have the three functions:
Linear functions are polynomials in which the highest degree is 1.
Quadratic functions are polynomials in which the highest degree is 2.
And exponential functions usually have a variable in the exponent (e.g. 2^x).
For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.
For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.
Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.
There are 25 = 32 possible outcomes.
These piecewise functions are several graphs pieced together. Where one ends the other begins.
The greater than (> or <) symbol means an open circle at that point. If it is greater than or equal to (>=) then you put a closed solid circle.
start with the first one
-2x + 3 where -4 =< x < -1
put in these values for x
solid circle at (-4, 11)
open circle at (-1, 5)
graph is a straight line so connect the circles
next one
|2x -1| where -1 < x < 2
absolute value graphs are V-SHAPED where y is always positive. solve for vertex (x, 0)
0 = 2x -1
x = 1/2
(1/2, 0) vertex of V
solve for endpoints, both are open circles
(-1, 3)
(2, 3)
next one is easy. it's just a solid point
When y = 5 ; x = 2
(2,5)
last is a parabola, or just half of a parabola, aka bowl shaped graph
3x^2 - 1 when x > 2
plug in x = 2
open circle at (2, 11)
you can put in another x value greater than 2 to find a second point to help draw the graph but it's just a curve upward that continues with an arrow, no endpoint
3 ninths
1/3= 3/9
1*3= 3/9
-
3*3=
295/110,000. Hopefully this helped.
