Chapter 9.8, Problem 34HP

To determine

Solve the solution

Answer to Problem 34HP

Linear equations in slope-intercept form:  $y=mx+b$

Exponential equations of the form:  $y=a\left(b^x\right)$

Quadratic equations in standard form:  $y=a{x}^2+bx+c$

Explanation of Solution

Given information: Linear function grow by equal differences over equal intervals and Exponential function grow by equal factors over equal intervals

Calculation:

To recognize if a function is linear, quadratic (a parabola), or exponential without an equation or graph, look at the differences of the y-values between successive integral x-values. If the difference is constant, the graph is linear. If the difference is not constant but the second set of differences are constant, the graph is quadratic. If the differences follow a pattern similar to the y-values, the graph is exponential.

Linear equations in slope-intercept form:  $y=mx+b$

Exponential equations of the form:  $y=a\left(b^x\right)$

Quadratic equations in standard form:  $y=a{x}^2+bx+c$