Functions
G(3) = 49
f(6) = 27
On the graph shown, for what intervals is the graph concave up? concave down?
con up: x = 1.5 to x = 4
con down: x = -1.5(-2) to x = 1.5
Which exponent should a linear equation have?
"none"/1
On the graph shown, where should you plot lines to help you solve if we want to keep y between 9 and 15?
y = 9 and y = 15
If F = 9a - 12b, explain F(10, 3)
*note: do not calculate*
10 gets plugged in for a and 3 gets plugged in for b
Use averaging to find the value of f(x) when x = 6
f(6) = 13
On the graph shown, what is the maximum value and what is the minimum value? Estimate if needed
max: 4
min: about -.75 (between 0 and -1)
Which operation(s) do you start with when solving a linear equation?
Addition/subtraction
If you wanted to solve g = t3 - 2t2 + 17 to find out what t would be if g equals 9, what would be the equation of the line you can graph through the graph of g?
g = 9
If P = 5t7 -3t + 240 represents a businesses profit after t months, show in functional notation the profit after 7 months.
*note: do not calculate*
P(7)
The average rate of change between 15 and 18 is 2. What is the value of f(x) when x = 16
f(16) = 10
On the graph shown, when is the graph increasing and when is it decreasing?
increasing: from x = -2 to x = 0 and x = 2.5(ish) to x = 4 (or up)
decreasing: from x = 0 to x = 2.5(ish)
Solve y = 3x - 21 for x when y = 15
x = 12
The graph shown represents Laura's distance from home while running errands where D is distance in miles and t is time in hours.
How far from home was she when she started her errands?
she was 9 miles from home
If a function is given by the proportional relationship S = 34h, what is the constant of proportionality?
The constant of proportionality is 34
From the table shown, what appears to be the maximum amount of horses able to be on the ranch?
The maximum amount of horses appear to be 80 (limiting value)
On the graph shown, about where does the graph's inflection point occur?
around x = 1.5
A car's distance from home is measured by the function d = 60h + 5, where d is distance in miles and h is number of hours traveled. How many miles from home did the car start out its journey?
5 miles
The graph shown represents Laura's distance from home while running errands where D is distance in miles and t is time in hours.
About how long did it take her to get 11 miles from home?
It took about 3 hours
A business spends a flat amount of $350 per month. It also costs $8 to produce each item they sell. How much would it cost if the business produced 50 items in one month?
It would cost $750
Use the table shown to find what the value of M(14) should be
M(14) = 27
Does there appear to be a limiting value to the graph shown?
yes the limiting value is 500
p = 3(8t - 4s) + 10. Solve for s
s = p - 24t - 10/-12
Zac has to buy batting gloves and baseballs for practice. A set of batting gloves costs $35 and each baseball costs $4. If Zac's budget is $72, how many baseballs can he purchase?
Hint: Create an inequality and solve
Zac can buy 9 baseballs or less