Algebra 2

Exponential Functions

100

What is the change ratio of y=7^x？

7

200

For the exponential function y=a*b^x, if b>1, how will y change as x increases?

Increase

300

Given f(x)=2^x and Find f(-2)

-1/4

400

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%

500

 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

Logarithms

100

Which part in an exponential function does the logarithm represent?

exponent/power

200

the value of log base 3 of 81

4

300

the value of log10

1

400

log6-log2

log3

500

In3⁵

5In3

Trigonometry

100

What does trigonometric ratio sin refer to?

the ratio of the opposite side of an angle to the hypotenuse

200

sin 30°

1/2

300

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°）

400

Is sin225 a positive value or a negative value? Why?

Negative. (cos225°,sinc225°) falls onto the third quadrant.

500

cos300°

-1/2

Linear Functions

100

In the linear function y=mx+b, which letter represents slope and which one represents y-intercepts. 

m, b

200

What is the slope of function 2y=6x+3

3

300

Is the point (2,5) on the graph of function y=5x+6? Why?

No.

400

The graph of a function comes across the point of (5, 1), (3, 9). What is this function?

y=-4x+21

500

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

Quadratic Functions

100

In a quadratic function, f(x)=ax²+bx+c, when a>o, in which direction does the graph of the function concave?

Upward

200

What are the x-intercepts of function y=(x+6)(x-3)?

(-6, 0), (3, 0)

300

What is the minimum value of y=x²-4x+15, 3≤x<20

17

400

What is the solution to x²-9x+20=0

x=4 or 5

500

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