Exponential Functions
What is the change ratio of y=7x？
7
Which part in an exponential function does the logarithm represent?
exponent/power
What does trigonometric ratio sin refer to?
the ratio of the opposite side of an angle to the hypotenuse
In the linear function y=mx+b, which letter represents slope and which one represents y-intercepts.
m, b
In a quadratic function, f(x)=ax2+bx+c, when a>o, in which direction does the graph of the function concave?
Upward
Increase
the value of log base 3 of 81
4
sin 30°
1/2
What is the slope of function 2y=6x+3
3
(-6, 0), (3, 0)
Given f(x)=2x and Find f(-2)
-1/4
the value of log10
1
What are the coordinates of a point, when:1)The point is on a unit circle; 2)The angle between the positive x-axis and the radius to that point is 127°. Use the trigonometric ratio to designate the point.
（cos 127°,sin127°）
Is the point (2,5) on the graph of function y=5x+6? Why?
No.
What is the minimum value of y=x2-4x+15, 3≤x<20
17
The population of Winnemucca, Nevada, can be modeled by p=6192(1.04)t where t is the number of years since 1990. What was the population in 1990? By what percent did the population increase by each year?
6192, 4%
log6-log2
log3
Is sin225 a positive value or a negative value? Why?
Negative. (cos225°,sinc225°) falls onto the third quadrant.
The graph of a function comes across the point of (5, 1), (3, 9). What is this function?
y=-4x+21
What is the solution to x2-9x+20=0
x=4 or 5
If $1000 is invested into an account at a rate of 6% compounded continuously, how much will be available at the end of 20 years?
$3320.12
In35
5In3
-1/2
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
C=25+50h
A diver’s path when diving off a platform is given by 𝑑 = −5𝑡 2 + 10𝑡 + 20, where 𝑑 is the distance above the water, in feet, and 𝑡 is the time from the beginning of the dive, in seconds.After how many seconds is the diver 25 feet above the water?
1s