SAT Math · Advanced Math
Nonlinear functions practice questions
Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.
- Question 13 · mediumA ball's height in feet after t seconds is modeled by h(t) = -16t² + 64t + 5. What is the maximum height the ball reaches, in…
- Question 14 · easyA city's population is modeled by P(t) = 24,000(0.92)^t, where t is the number of years after 2020. According to this model, by…
- Question 15 · easyThe variable y varies inversely with x. When x=3, y=8. What is the value of y when x=12?
- Question 36 · easyThe function f is defined by f(x) = (x-3)(x+7). What is the sum of the zeros of f?
- Question 37 · mediumIf f(2) = 9, and g(x) = f(x-3) + 4, what is the value of g(5)?
- Question 38 · easyWhat is the equation of the horizontal asymptote of f(x) = (3x+6)/(x-5)?
- Question 80 · hardA quantity triples every 6 years. What is the growth factor for a 2-year period, rounded to the nearest hundredth?
- Question 81 · mediumThe function f(x) = (x-2)²(x+3) has a zero at x=2. What is the behavior of the graph of f at this zero?
- Question 82 · mediumFor the function f(x) = (x²-9)/(x-3), what occurs at x=3?
- Question 99 · easyA parabola has zeros at x=-2 and x=8. What is the x-coordinate of the vertex of the parabola?
- Question 133 · mediumA company's monthly revenue, in dollars, from selling x units of a product is modeled by R(x) = -5x² + 200x. How many units…
- Question 134 · easyThe value of an investment, in dollars, after t years is modeled by V(t) = 5000(1.06)^t. According to this model, by what…
- Question 152 · mediumA factory's daily production cost, in dollars, for producing x units is modeled by C(x) = 2x² - 40x + 500. How many units should…
- Question 154 · easyWhat is the equation of the vertical asymptote of f(x) = (2x+3)/(x-7)?
- Question 155 · hardFor the function f(x) = ((x-2)(x+3))/((x-2)(x-5)), which statement correctly describes its behavior at x=2 and x=5?
- Question 173 · easyThe function f is defined by f(x) = (x-3)(x+7). What is the product of the zeros of f?
- Question 174 · easyThe variable y varies inversely with x. When x=4, y=5. What is the value of y when x=10?
- Question 194 · mediumThe function f(x) = (x-1)³(x+4) has a zero at x=1. What is the behavior of the graph of f at this zero?
- Question 197 · easyA radioactive sample's mass, in grams, after t hours is modeled by M(t) = 1000(0.85)^t. According to this model, by what percent…
- Question 201 · hardA radioactive substance decays by 10% every hour. Starting with 1,000 grams, after how many whole hours does the amount of…
- Question 213 · mediumA company's daily profit, in dollars, is modeled by P(x) = -3x² + 150x - 800, where x is the number of units sold. How many…
- Question 215 · easyThe variable y varies inversely with x. When x=6, y=8. What is the value of y when x=16?
- Question 234 · easyThe function f is defined by f(x) = (x+5)(x-9). What is the sum of the zeros of f?
- Question 238 · easyA car's value, in dollars, after t years is modeled by V(t) = 28,000(0.82)^t. By what percent does the car's value decrease each…
- Question 252 · mediumA ball's height in feet after t seconds is modeled by h(t) = -16t² + 96t + 10. What is the maximum height the ball reaches, in…
- Question 253 · easyThe variable y varies inversely with x. When x=4, y=15. What is the value of y when x=20?
- Question 257 · easyWhat is the equation of the vertical asymptote of f(x) = (5x-2)/(x+6)?
- Question 275 · easyA bacteria population is modeled by N(t) = 500(1.12)^t, where t is measured in hours. By what percent does the population grow…
- Question 277 · mediumA company's cost, in dollars, to produce x units is modeled by C(x) = 3x² - 60x + 800. How many units should be produced to…
- Question 294 · easyThe variable y varies inversely with x. When x=7, y=10. What is the value of y when x=14?
- Question 296 · easyWhat is the equation of the horizontal asymptote of f(x) = (7x-3)/(2x+5)?
- Question 297 · mediumA farmer has 200 feet of fencing to enclose a rectangular garden, using the fencing for all four sides. If A(w) = w(100-w)…
- Question 311 · easyThe variable y varies inversely with x. When x=6, y=9. What is the value of y when x=18?
- Question 313 · easyWhat is the equation of the vertical asymptote of f(x) = (2x+9)/(x-4)?