
Concept explainers
To write: The difference between dependent variables and independent variables.

Answer to Problem 1E
The independent variable is what you change, and the dependent variable is what changes because of that.
Explanation of Solution
Given information: dependent and independent variables.
Dependent Variables square measure those variables that square measure dependent to different variable or amount.
It's what changes as results of the changes to the experimental variable.
Independent Variables square measure those variables amendment is not littered with the other variable within the experiment.
The experimental variable is what you alter, and therefore the variable quantity is what changes as a result of that.
For Example:
In equation, y = 8x +10 ,
y relies variable, it's depends on the x however here x is experimental variable.
Chapter 3 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
- Write an equation for the function shown. You may assume all intercepts and asymptotes are on integers. The blue dashed lines are the asymptotes. 10 9- 8- 7 6 5 4- 3- 2 4 5 15-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 1 1 2 3 -1 -2 -3 -4 1 -5 -6- -7 -8- -9 -10+ 60 7 8 9 10 11 12 13 14 15arrow_forwardUse the graph of the polynomial function of degree 5 to identify zeros and multiplicity. Order your zeros from least to greatest. -6 3 6+ 5 4 3 2 1 2 -1 -2 -3 -4 -5 3 4 6 Zero at with multiplicity Zero at with multiplicity Zero at with multiplicityarrow_forwardUse the graph to identify zeros and multiplicity. Order your zeros from least to greatest. 6 5 4 -6-5-4-3-2 3 21 2 1 2 4 5 ૪ 345 Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity པ་arrow_forward
- Use the graph to write the formula for a polynomial function of least degree. -5 + 4 3 ♡ 2 12 1 f(x) -1 -1 f(x) 2 3. + -3 12 -5+ + xarrow_forwardUse the graph to identify zeros and multiplicity. Order your zeros from least to greatest. 6 -6-5-4-3-2-1 -1 -2 3 -4 4 5 6 a Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity Zero at with multiplicityarrow_forwardUse the graph to write the formula for a polynomial function of least degree. 5 4 3 -5 -x 1 f(x) -5 -4 -1 1 2 3 4 -1 -2 -3 -4 -5 f(x) =arrow_forward
- Write the equation for the graphed function. -8 ง -6-5 + 5 4 3 2 1 -3 -2 -1 -1 -2 4 5 6 6 -8- f(x) 7 8arrow_forwardWrite the equation for the graphed function. 8+ 7 -8 ง A -6-5 + 6 5 4 3 -2 -1 2 1 -1 3 2 3 + -2 -3 -4 -5 16 -7 -8+ f(x) = ST 0 7 8arrow_forwardThe following is the graph of the function f. 48- 44 40 36 32 28 24 20 16 12 8 4 -4 -3 -1 -4 -8 -12 -16 -20 -24 -28 -32 -36 -40 -44 -48+ Estimate the intervals where f is increasing or decreasing. Increasing: Decreasing: Estimate the point at which the graph of ƒ has a local maximum or a local minimum. Local maximum: Local minimum:arrow_forward
- For the following exercise, find the domain and range of the function below using interval notation. 10+ 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 34 5 6 7 8 9 10 -1 -2 Domain: Range: -4 -5 -6 -7- 67% 9 -8 -9 -10-arrow_forward1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)arrow_forwardSafari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forward
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