Exponential functions
Exponential graphs
Quadratic functions
Quadratic function graphs
100
What is the y-intercept of the function f(x)=4∙(0.5)x? How do you know?
(0, 4), a value 4 tells me the y coordinate of the y-intercept, and the x coordinate is 0 for y-intercept.
100
Find the y-intercept of the following graph.
(0,1)
100
Find the roots of the function f(x)=(x+1)(x-2).
x=-1 and x=2
100
Identify whether the graph is concave up or concave down. Why?
concave up because it opens upward or it has positive a value by the given function.
200
Is the function f(x)=3x decreasing or increasing?Why?
Increasing because the function has a b value of 3 which is greater than 1.
200
Find the growth factor of the following graph.
2
200
Find the vertex of the function f(x)=(x-2)2+7.
(2,7)
200
What is the equation of axis of symmetry of the following graph?
x=1
300
Given f(x)=4x , find the y-intercept and the growth factor.
y-intercept: (0,1)
growth factor: 4
300
Draw the graph of f(x)=7(2)x ? (General shape, label the y-intercept)
300
What is the equation of the axis of symmetry of the parabola f(x)=5x2+2x+1?
x=-2/10 or -1/5
300
Find the roots of the following parabola.
x=-3 and x=1
400
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of one day?
y=224
y=16,777,216
400
Describe the end behavior of the following graph.
When
400
How many solutions the parabola f(x)=x2+7x+10 have? Find the solutions.
2 solutions, x=2 and x=5
400
How many solutions the parabola have? Why?
No solution or 0 solution because the parabola does not have any roots or the parabola does not cross the x-axis.
500
What is the general equation of exponential growth model? Identity each variable and their meanings. (Hint: the general equation for linear equation is y=mx+b, and state what m and b represents)
y=a(1+r)t , a is the initial value or y-intercept, r is the growth rate, t is the time interval.
500
Write an equation for the following graph.
y=6(0.5)x
500
Find the vertex and roots of the parabola f(x)=x2+2x-8.
roots: x=-4, x=2
vertex:(1,-9)
500
Write an equation for the following parabola.
f(x)=-(x-1)(x-3)
or f(x)=-(x-2)2+1